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Finding the Fourth Proportional to 704,712,701.80, 1,057,069,052.70 and 194,109,437.80

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Solution

The fourth proportional to 704,712,701.80, 1,057,069,052.70 and 194,109,437.80 is: 291,164,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,712,701.80 : 1,057,069,052.70 = 194,109,437.80 : x
  2. Step 2: Convert to fraction form
    704,712,701.80/1,057,069,052.70 = 194,109,437.80/x
  3. Step 3: Cross multiply
    704,712,701.80x = 1,057,069,052.70 × 194,109,437.80
  4. Step 4: Simplify right side
    704,712,701.80x = 205,187,079,535,375,584
  5. Step 5: Solve for x
    x = 205,187,079,535,375,584/704,712,701.80
  6. Step 6: Final answer
    x = 291,164,156.70

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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.