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Finding the Fourth Proportional to 11,627,337,695.60, 17,441,006,543.40 and 11,627,337,695.60

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Solution

The fourth proportional to 11,627,337,695.60, 17,441,006,543.40 and 11,627,337,695.60 is: 17,441,006,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627,337,695.60 : 17,441,006,543.40 = 11,627,337,695.60 : x
  2. Step 2: Convert to fraction form
    11,627,337,695.60/17,441,006,543.40 = 11,627,337,695.60/x
  3. Step 3: Cross multiply
    11,627,337,695.60x = 17,441,006,543.40 × 11,627,337,695.60
  4. Step 4: Simplify right side
    11,627,337,695.60x = 202,792,472,831,281,102,848
  5. Step 5: Solve for x
    x = 202,792,472,831,281,102,848/11,627,337,695.60
  6. Step 6: Final answer
    x = 17,441,006,543.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.