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Finding the Fourth Proportional to 506,404,805.80, 759,607,208.70 and 472,392,581.80

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Solution

The fourth proportional to 506,404,805.80, 759,607,208.70 and 472,392,581.80 is: 708,588,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,404,805.80 : 759,607,208.70 = 472,392,581.80 : x
  2. Step 2: Convert to fraction form
    506,404,805.80/759,607,208.70 = 472,392,581.80/x
  3. Step 3: Cross multiply
    506,404,805.80x = 759,607,208.70 × 472,392,581.80
  4. Step 4: Simplify right side
    506,404,805.80x = 358,832,810,471,684,480
  5. Step 5: Solve for x
    x = 358,832,810,471,684,480/506,404,805.80
  6. Step 6: Final answer
    x = 708,588,872.70

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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.