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Finding the Fourth Proportional to 601,696,020.76, 830,034,917.04 and 392,974,339.48

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Solution

The fourth proportional to 601,696,020.76, 830,034,917.04 and 392,974,339.48 is: 542,105,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,696,020.76 : 830,034,917.04 = 392,974,339.48 : x
  2. Step 2: Convert to fraction form
    601,696,020.76/830,034,917.04 = 392,974,339.48/x
  3. Step 3: Cross multiply
    601,696,020.76x = 830,034,917.04 × 392,974,339.48
  4. Step 4: Simplify right side
    601,696,020.76x = 326,182,423,269,130,624
  5. Step 5: Solve for x
    x = 326,182,423,269,130,624/601,696,020.76
  6. Step 6: Final answer
    x = 542,105,003.22

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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.