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Finding the Fourth Proportional to 352,046,098,077.60, 528,069,147,116.40 and 352,046,098,077.60

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Solution

The fourth proportional to 352,046,098,077.60, 528,069,147,116.40 and 352,046,098,077.60 is: 528,069,147,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,046,098,077.60 : 528,069,147,116.40 = 352,046,098,077.60 : x
  2. Step 2: Convert to fraction form
    352,046,098,077.60/528,069,147,116.40 = 352,046,098,077.60/x
  3. Step 3: Cross multiply
    352,046,098,077.60x = 528,069,147,116.40 × 352,046,098,077.60
  4. Step 4: Simplify right side
    352,046,098,077.60x = 185,904,682,757,494,732,226,560
  5. Step 5: Solve for x
    x = 185,904,682,757,494,732,226,560/352,046,098,077.60
  6. Step 6: Final answer
    x = 528,069,147,116.40

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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.