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Finding the Fourth Proportional to 840,146,569.55, 1,260,219,854.33 and 840,146,569.55

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Solution

The fourth proportional to 840,146,569.55, 1,260,219,854.33 and 840,146,569.55 is: 1,260,219,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,146,569.55 : 1,260,219,854.33 = 840,146,569.55 : x
  2. Step 2: Convert to fraction form
    840,146,569.55/1,260,219,854.33 = 840,146,569.55/x
  3. Step 3: Cross multiply
    840,146,569.55x = 1,260,219,854.33 × 840,146,569.55
  4. Step 4: Simplify right side
    840,146,569.55x = 1,058,769,387,489,949,440
  5. Step 5: Solve for x
    x = 1,058,769,387,489,949,440/840,146,569.55
  6. Step 6: Final answer
    x = 1,260,219,854.33

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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.