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Finding the Fourth Proportional to 83,670,657.40, 125,505,986.10 and 29,798,529.40

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Solution

The fourth proportional to 83,670,657.40, 125,505,986.10 and 29,798,529.40 is: 44,697,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,670,657.40 : 125,505,986.10 = 29,798,529.40 : x
  2. Step 2: Convert to fraction form
    83,670,657.40/125,505,986.10 = 29,798,529.40/x
  3. Step 3: Cross multiply
    83,670,657.40x = 125,505,986.10 × 29,798,529.40
  4. Step 4: Simplify right side
    83,670,657.40x = 3,739,893,816,676,841
  5. Step 5: Solve for x
    x = 3,739,893,816,676,841/83,670,657.40
  6. Step 6: Final answer
    x = 44,697,794.10

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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.