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Finding the Fourth Proportional to 70,689,034,233.20, 106,033,551,349.80 and 70,689,034,233.20

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Solution

The fourth proportional to 70,689,034,233.20, 106,033,551,349.80 and 70,689,034,233.20 is: 106,033,551,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,689,034,233.20 : 106,033,551,349.80 = 70,689,034,233.20 : x
  2. Step 2: Convert to fraction form
    70,689,034,233.20/106,033,551,349.80 = 70,689,034,233.20/x
  3. Step 3: Cross multiply
    70,689,034,233.20x = 106,033,551,349.80 × 70,689,034,233.20
  4. Step 4: Simplify right side
    70,689,034,233.20x = 7,495,409,341,233,782,325,248
  5. Step 5: Solve for x
    x = 7,495,409,341,233,782,325,248/70,689,034,233.20
  6. Step 6: Final answer
    x = 106,033,551,349.80

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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.