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Finding the Fourth Proportional to 586,729,815.20, 880,094,722.80 and 586,729,815.20

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Solution

The fourth proportional to 586,729,815.20, 880,094,722.80 and 586,729,815.20 is: 880,094,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,729,815.20 : 880,094,722.80 = 586,729,815.20 : x
  2. Step 2: Convert to fraction form
    586,729,815.20/880,094,722.80 = 586,729,815.20/x
  3. Step 3: Cross multiply
    586,729,815.20x = 880,094,722.80 × 586,729,815.20
  4. Step 4: Simplify right side
    586,729,815.20x = 516,377,814,066,939,264
  5. Step 5: Solve for x
    x = 516,377,814,066,939,264/586,729,815.20
  6. Step 6: Final answer
    x = 880,094,722.80

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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.