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Finding the Fourth Proportional to 146,079,888,941.09, 219,119,833,411.62 and 146,079,888,941.09

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Solution

The fourth proportional to 146,079,888,941.09, 219,119,833,411.62 and 146,079,888,941.09 is: 219,119,833,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,079,888,941.09 : 219,119,833,411.62 = 146,079,888,941.09 : x
  2. Step 2: Convert to fraction form
    146,079,888,941.09/219,119,833,411.62 = 146,079,888,941.09/x
  3. Step 3: Cross multiply
    146,079,888,941.09x = 219,119,833,411.62 × 146,079,888,941.09
  4. Step 4: Simplify right side
    146,079,888,941.09x = 32,009,000,929,559,591,256,064
  5. Step 5: Solve for x
    x = 32,009,000,929,559,591,256,064/146,079,888,941.09
  6. Step 6: Final answer
    x = 219,119,833,411.62

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.