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Finding the Fourth Proportional to 1,420,095,342.60, 2,130,143,013.90 and 1,420,095,342.60

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Solution

The fourth proportional to 1,420,095,342.60, 2,130,143,013.90 and 1,420,095,342.60 is: 2,130,143,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,095,342.60 : 2,130,143,013.90 = 1,420,095,342.60 : x
  2. Step 2: Convert to fraction form
    1,420,095,342.60/2,130,143,013.90 = 1,420,095,342.60/x
  3. Step 3: Cross multiply
    1,420,095,342.60x = 2,130,143,013.90 × 1,420,095,342.60
  4. Step 4: Simplify right side
    1,420,095,342.60x = 3,025,006,173,111,316,992
  5. Step 5: Solve for x
    x = 3,025,006,173,111,316,992/1,420,095,342.60
  6. Step 6: Final answer
    x = 2,130,143,013.90

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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.