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Finding the Fourth Proportional to 103,017,814,363.60, 154,526,721,545.40 and 103,017,814,363.60

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Solution

The fourth proportional to 103,017,814,363.60, 154,526,721,545.40 and 103,017,814,363.60 is: 154,526,721,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,017,814,363.60 : 154,526,721,545.40 = 103,017,814,363.60 : x
  2. Step 2: Convert to fraction form
    103,017,814,363.60/154,526,721,545.40 = 103,017,814,363.60/x
  3. Step 3: Cross multiply
    103,017,814,363.60x = 154,526,721,545.40 × 103,017,814,363.60
  4. Step 4: Simplify right side
    103,017,814,363.60x = 15,919,005,114,379,725,176,832
  5. Step 5: Solve for x
    x = 15,919,005,114,379,725,176,832/103,017,814,363.60
  6. Step 6: Final answer
    x = 154,526,721,545.40

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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.