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Finding the Fourth Proportional to 108,603,331,281.60, 162,904,996,922.40 and 108,603,331,281.60

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Solution

The fourth proportional to 108,603,331,281.60, 162,904,996,922.40 and 108,603,331,281.60 is: 162,904,996,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,603,331,281.60 : 162,904,996,922.40 = 108,603,331,281.60 : x
  2. Step 2: Convert to fraction form
    108,603,331,281.60/162,904,996,922.40 = 108,603,331,281.60/x
  3. Step 3: Cross multiply
    108,603,331,281.60x = 162,904,996,922.40 × 108,603,331,281.60
  4. Step 4: Simplify right side
    108,603,331,281.60x = 17,692,025,348,191,435,096,064
  5. Step 5: Solve for x
    x = 17,692,025,348,191,435,096,064/108,603,331,281.60
  6. Step 6: Final answer
    x = 162,904,996,922.40

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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.