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Finding the Fourth Proportional to 502,101,417.60, 692,234,307.36 and 412,456,626.72

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Solution

The fourth proportional to 502,101,417.60, 692,234,307.36 and 412,456,626.72 is: 568,643,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,101,417.60 : 692,234,307.36 = 412,456,626.72 : x
  2. Step 2: Convert to fraction form
    502,101,417.60/692,234,307.36 = 412,456,626.72/x
  3. Step 3: Cross multiply
    502,101,417.60x = 692,234,307.36 × 412,456,626.72
  4. Step 4: Simplify right side
    502,101,417.60x = 285,516,627,313,561,280
  5. Step 5: Solve for x
    x = 285,516,627,313,561,280/502,101,417.60
  6. Step 6: Final answer
    x = 568,643,340.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.