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Finding the Fourth Proportional to 653,485,965.30, 915,560,595.90 and 653,485,965.30

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Solution

The fourth proportional to 653,485,965.30, 915,560,595.90 and 653,485,965.30 is: 915,560,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,485,965.30 : 915,560,595.90 = 653,485,965.30 : x
  2. Step 2: Convert to fraction form
    653,485,965.30/915,560,595.90 = 653,485,965.30/x
  3. Step 3: Cross multiply
    653,485,965.30x = 915,560,595.90 × 653,485,965.30
  4. Step 4: Simplify right side
    653,485,965.30x = 598,305,999,802,354,688
  5. Step 5: Solve for x
    x = 598,305,999,802,354,688/653,485,965.30
  6. Step 6: Final answer
    x = 915,560,595.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.