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Finding the Fourth Proportional to 524,448,200.90, 785,160,646.95 and 524,448,200.90

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Solution

The fourth proportional to 524,448,200.90, 785,160,646.95 and 524,448,200.90 is: 785,160,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,448,200.90 : 785,160,646.95 = 524,448,200.90 : x
  2. Step 2: Convert to fraction form
    524,448,200.90/785,160,646.95 = 524,448,200.90/x
  3. Step 3: Cross multiply
    524,448,200.90x = 785,160,646.95 × 524,448,200.90
  4. Step 4: Simplify right side
    524,448,200.90x = 411,776,088,710,407,552
  5. Step 5: Solve for x
    x = 411,776,088,710,407,552/524,448,200.90
  6. Step 6: Final answer
    x = 785,160,646.95

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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.