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Finding the Fourth Proportional to 1,078,801,872, 1,488,750,530.88 and 583,764,585.60

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Solution

The fourth proportional to 1,078,801,872, 1,488,750,530.88 and 583,764,585.60 is: 805,597,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,801,872 : 1,488,750,530.88 = 583,764,585.60 : x
  2. Step 2: Convert to fraction form
    1,078,801,872/1,488,750,530.88 = 583,764,585.60/x
  3. Step 3: Cross multiply
    1,078,801,872x = 1,488,750,530.88 × 583,764,585.60
  4. Step 4: Simplify right side
    1,078,801,872x = 869,079,836,720,943,360
  5. Step 5: Solve for x
    x = 869,079,836,720,943,360/1,078,801,872
  6. Step 6: Final answer
    x = 805,597,264.22

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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.