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Finding the Fourth Proportional to 750,420,641.11, 1,035,580,582.95 and 415,914,759.87

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Solution

The fourth proportional to 750,420,641.11, 1,035,580,582.95 and 415,914,759.87 is: 573,962,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,420,641.11 : 1,035,580,582.95 = 415,914,759.87 : x
  2. Step 2: Convert to fraction form
    750,420,641.11/1,035,580,582.95 = 415,914,759.87/x
  3. Step 3: Cross multiply
    750,420,641.11x = 1,035,580,582.95 × 415,914,759.87
  4. Step 4: Simplify right side
    750,420,641.11x = 430,713,249,476,426,432
  5. Step 5: Solve for x
    x = 430,713,249,476,426,432/750,420,641.11
  6. Step 6: Final answer
    x = 573,962,423.05

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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.