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Finding the Fourth Proportional to 652,136,919.20, 978,205,378.80 and 522,996,756.20

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Solution

The fourth proportional to 652,136,919.20, 978,205,378.80 and 522,996,756.20 is: 784,495,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,136,919.20 : 978,205,378.80 = 522,996,756.20 : x
  2. Step 2: Convert to fraction form
    652,136,919.20/978,205,378.80 = 522,996,756.20/x
  3. Step 3: Cross multiply
    652,136,919.20x = 978,205,378.80 × 522,996,756.20
  4. Step 4: Simplify right side
    652,136,919.20x = 511,598,240,009,792,192
  5. Step 5: Solve for x
    x = 511,598,240,009,792,192/652,136,919.20
  6. Step 6: Final answer
    x = 784,495,134.30

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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.