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Finding the Fourth Proportional to 556,046,508.80, 834,069,763.20 and 513,048,339.20

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Solution

The fourth proportional to 556,046,508.80, 834,069,763.20 and 513,048,339.20 is: 769,572,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,046,508.80 : 834,069,763.20 = 513,048,339.20 : x
  2. Step 2: Convert to fraction form
    556,046,508.80/834,069,763.20 = 513,048,339.20/x
  3. Step 3: Cross multiply
    556,046,508.80x = 834,069,763.20 × 513,048,339.20
  4. Step 4: Simplify right side
    556,046,508.80x = 427,918,106,786,697,280
  5. Step 5: Solve for x
    x = 427,918,106,786,697,280/556,046,508.80
  6. Step 6: Final answer
    x = 769,572,508.80

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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.