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Finding the Fourth Proportional to 370,092,509.84, 510,726,287.40 and 205,079,947.76

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Solution

The fourth proportional to 370,092,509.84, 510,726,287.40 and 205,079,947.76 is: 283,009,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,092,509.84 : 510,726,287.40 = 205,079,947.76 : x
  2. Step 2: Convert to fraction form
    370,092,509.84/510,726,287.40 = 205,079,947.76/x
  3. Step 3: Cross multiply
    370,092,509.84x = 510,726,287.40 × 205,079,947.76
  4. Step 4: Simplify right side
    370,092,509.84x = 104,739,720,339,650,736
  5. Step 5: Solve for x
    x = 104,739,720,339,650,736/370,092,509.84
  6. Step 6: Final answer
    x = 283,009,565.32

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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.