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Finding the Fourth Proportional to 146,079,888,906.10, 219,119,833,359.15 and 146,079,888,906.10

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Solution

The fourth proportional to 146,079,888,906.10, 219,119,833,359.15 and 146,079,888,906.10 is: 219,119,833,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,079,888,906.10 : 219,119,833,359.15 = 146,079,888,906.10 : x
  2. Step 2: Convert to fraction form
    146,079,888,906.10/219,119,833,359.15 = 146,079,888,906.10/x
  3. Step 3: Cross multiply
    146,079,888,906.10x = 219,119,833,359.15 × 146,079,888,906.10
  4. Step 4: Simplify right side
    146,079,888,906.10x = 32,009,000,914,227,778,551,808
  5. Step 5: Solve for x
    x = 32,009,000,914,227,778,551,808/146,079,888,906.10
  6. Step 6: Final answer
    x = 219,119,833,359.15

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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.