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Finding the Fourth Proportional to 76,282,430.40, 114,423,645.60 and 50,454,397.80

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Solution

The fourth proportional to 76,282,430.40, 114,423,645.60 and 50,454,397.80 is: 75,681,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,282,430.40 : 114,423,645.60 = 50,454,397.80 : x
  2. Step 2: Convert to fraction form
    76,282,430.40/114,423,645.60 = 50,454,397.80/x
  3. Step 3: Cross multiply
    76,282,430.40x = 114,423,645.60 × 50,454,397.80
  4. Step 4: Simplify right side
    76,282,430.40x = 5,773,176,132,828,619
  5. Step 5: Solve for x
    x = 5,773,176,132,828,619/76,282,430.40
  6. Step 6: Final answer
    x = 75,681,596.70

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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.