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Finding the Fourth Proportional to 70,689,034,233.45, 106,033,551,350.17 and 70,689,034,233.45

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Solution

The fourth proportional to 70,689,034,233.45, 106,033,551,350.17 and 70,689,034,233.45 is: 106,033,551,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,689,034,233.45 : 106,033,551,350.17 = 70,689,034,233.45 : x
  2. Step 2: Convert to fraction form
    70,689,034,233.45/106,033,551,350.17 = 70,689,034,233.45/x
  3. Step 3: Cross multiply
    70,689,034,233.45x = 106,033,551,350.17 × 70,689,034,233.45
  4. Step 4: Simplify right side
    70,689,034,233.45x = 7,495,409,341,286,444,957,696
  5. Step 5: Solve for x
    x = 7,495,409,341,286,444,957,696/70,689,034,233.45
  6. Step 6: Final answer
    x = 106,033,551,350.17

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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.