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Finding the Fourth Proportional to 601,695,866.18, 830,034,704.93 and 392,974,184.90

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Solution

The fourth proportional to 601,695,866.18, 830,034,704.93 and 392,974,184.90 is: 542,104,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,695,866.18 : 830,034,704.93 = 392,974,184.90 : x
  2. Step 2: Convert to fraction form
    601,695,866.18/830,034,704.93 = 392,974,184.90/x
  3. Step 3: Cross multiply
    601,695,866.18x = 830,034,704.93 × 392,974,184.90
  4. Step 4: Simplify right side
    601,695,866.18x = 326,182,211,611,636,288
  5. Step 5: Solve for x
    x = 326,182,211,611,636,288/601,695,866.18
  6. Step 6: Final answer
    x = 542,104,790.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.