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Finding the Fourth Proportional to 458,255,235,376.80, 687,382,853,065.20 and 458,255,235,376.80

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Solution

The fourth proportional to 458,255,235,376.80, 687,382,853,065.20 and 458,255,235,376.80 is: 687,382,853,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,255,235,376.80 : 687,382,853,065.20 = 458,255,235,376.80 : x
  2. Step 2: Convert to fraction form
    458,255,235,376.80/687,382,853,065.20 = 458,255,235,376.80/x
  3. Step 3: Cross multiply
    458,255,235,376.80x = 687,382,853,065.20 × 458,255,235,376.80
  4. Step 4: Simplify right side
    458,255,235,376.80x = 314,996,791,125,369,514,098,688
  5. Step 5: Solve for x
    x = 314,996,791,125,369,514,098,688/458,255,235,376.80
  6. Step 6: Final answer
    x = 687,382,853,065.20

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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.