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Finding the Fourth Proportional to 872,888,617.19, 1,309,578,569.63 and 381,645,027.11

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Solution

The fourth proportional to 872,888,617.19, 1,309,578,569.63 and 381,645,027.11 is: 572,574,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,888,617.19 : 1,309,578,569.63 = 381,645,027.11 : x
  2. Step 2: Convert to fraction form
    872,888,617.19/1,309,578,569.63 = 381,645,027.11/x
  3. Step 3: Cross multiply
    872,888,617.19x = 1,309,578,569.63 × 381,645,027.11
  4. Step 4: Simplify right side
    872,888,617.19x = 499,794,148,707,208,192
  5. Step 5: Solve for x
    x = 499,794,148,707,208,192/872,888,617.19
  6. Step 6: Final answer
    x = 572,574,941.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.