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Finding the Fourth Proportional to 472,393,913.20, 708,590,869.80 and 472,393,913.20

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Solution

The fourth proportional to 472,393,913.20, 708,590,869.80 and 472,393,913.20 is: 708,590,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,913.20 : 708,590,869.80 = 472,393,913.20 : x
  2. Step 2: Convert to fraction form
    472,393,913.20/708,590,869.80 = 472,393,913.20/x
  3. Step 3: Cross multiply
    472,393,913.20x = 708,590,869.80 × 472,393,913.20
  4. Step 4: Simplify right side
    472,393,913.20x = 334,734,013,842,613,696
  5. Step 5: Solve for x
    x = 334,734,013,842,613,696/472,393,913.20
  6. Step 6: Final answer
    x = 708,590,869.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.