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Finding the Fourth Proportional to 582,471,283.80, 873,706,925.70 and 364,793,050.20

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Solution

The fourth proportional to 582,471,283.80, 873,706,925.70 and 364,793,050.20 is: 547,189,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,471,283.80 : 873,706,925.70 = 364,793,050.20 : x
  2. Step 2: Convert to fraction form
    582,471,283.80/873,706,925.70 = 364,793,050.20/x
  3. Step 3: Cross multiply
    582,471,283.80x = 873,706,925.70 × 364,793,050.20
  4. Step 4: Simplify right side
    582,471,283.80x = 318,722,214,406,967,808
  5. Step 5: Solve for x
    x = 318,722,214,406,967,808/582,471,283.80
  6. Step 6: Final answer
    x = 547,189,575.30

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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.