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Finding the Fourth Proportional to 66,123,218,363.60, 99,184,827,545.40 and 66,123,218,363.60

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Solution

The fourth proportional to 66,123,218,363.60, 99,184,827,545.40 and 66,123,218,363.60 is: 99,184,827,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,123,218,363.60 : 99,184,827,545.40 = 66,123,218,363.60 : x
  2. Step 2: Convert to fraction form
    66,123,218,363.60/99,184,827,545.40 = 66,123,218,363.60/x
  3. Step 3: Cross multiply
    66,123,218,363.60x = 99,184,827,545.40 × 66,123,218,363.60
  4. Step 4: Simplify right side
    66,123,218,363.60x = 6,558,420,010,140,492,103,680
  5. Step 5: Solve for x
    x = 6,558,420,010,140,492,103,680/66,123,218,363.60
  6. Step 6: Final answer
    x = 99,184,827,545.40

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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.