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Finding the Fourth Proportional to 81,139,968,363.60, 121,709,952,545.40 and 81,139,968,363.60

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Solution

The fourth proportional to 81,139,968,363.60, 121,709,952,545.40 and 81,139,968,363.60 is: 121,709,952,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,139,968,363.60 : 121,709,952,545.40 = 81,139,968,363.60 : x
  2. Step 2: Convert to fraction form
    81,139,968,363.60/121,709,952,545.40 = 81,139,968,363.60/x
  3. Step 3: Cross multiply
    81,139,968,363.60x = 121,709,952,545.40 × 81,139,968,363.60
  4. Step 4: Simplify right side
    81,139,968,363.60x = 9,875,541,699,069,013,393,408
  5. Step 5: Solve for x
    x = 9,875,541,699,069,013,393,408/81,139,968,363.60
  6. Step 6: Final answer
    x = 121,709,952,545.40

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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.