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Finding the Fourth Proportional to 601,695,828.40, 830,034,652.70 and 392,974,147.12

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Solution

The fourth proportional to 601,695,828.40, 830,034,652.70 and 392,974,147.12 is: 542,104,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,695,828.40 : 830,034,652.70 = 392,974,147.12 : x
  2. Step 2: Convert to fraction form
    601,695,828.40/830,034,652.70 = 392,974,147.12/x
  3. Step 3: Cross multiply
    601,695,828.40x = 830,034,652.70 × 392,974,147.12
  4. Step 4: Simplify right side
    601,695,828.40x = 326,182,159,723,735,232
  5. Step 5: Solve for x
    x = 326,182,159,723,735,232/601,695,828.40
  6. Step 6: Final answer
    x = 542,104,738.52

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