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Finding the Fourth Proportional to 472,392,497.45, 708,588,746.18 and 414,996,869.45

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Solution

The fourth proportional to 472,392,497.45, 708,588,746.18 and 414,996,869.45 is: 622,495,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,497.45 : 708,588,746.18 = 414,996,869.45 : x
  2. Step 2: Convert to fraction form
    472,392,497.45/708,588,746.18 = 414,996,869.45/x
  3. Step 3: Cross multiply
    472,392,497.45x = 708,588,746.18 × 414,996,869.45
  4. Step 4: Simplify right side
    472,392,497.45x = 294,062,111,392,200,640
  5. Step 5: Solve for x
    x = 294,062,111,392,200,640/472,392,497.45
  6. Step 6: Final answer
    x = 622,495,304.18

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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.