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Finding the Fourth Proportional to 569,307,658.40, 854,101,455.60 and 160,358,487.20

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Solution

The fourth proportional to 569,307,658.40, 854,101,455.60 and 160,358,487.20 is: 240,577,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,307,658.40 : 854,101,455.60 = 160,358,487.20 : x
  2. Step 2: Convert to fraction form
    569,307,658.40/854,101,455.60 = 160,358,487.20/x
  3. Step 3: Cross multiply
    569,307,658.40x = 854,101,455.60 × 160,358,487.20
  4. Step 4: Simplify right side
    569,307,658.40x = 136,962,417,335,333,968
  5. Step 5: Solve for x
    x = 136,962,417,335,333,968/569,307,658.40
  6. Step 6: Final answer
    x = 240,577,155.98

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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.