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Finding the Fourth Proportional to 586,834,281.40, 879,495,594.90 and 449,840,601.40

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Solution

The fourth proportional to 586,834,281.40, 879,495,594.90 and 449,840,601.40 is: 674,181,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,834,281.40 : 879,495,594.90 = 449,840,601.40 : x
  2. Step 2: Convert to fraction form
    586,834,281.40/879,495,594.90 = 449,840,601.40/x
  3. Step 3: Cross multiply
    586,834,281.40x = 879,495,594.90 × 449,840,601.40
  4. Step 4: Simplify right side
    586,834,281.40x = 395,632,827,338,466,752
  5. Step 5: Solve for x
    x = 395,632,827,338,466,752/586,834,281.40
  6. Step 6: Final answer
    x = 674,181,519.18

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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.