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Finding the Fourth Proportional to 257,424,007.60, 386,136,011.40 and 257,424,007.60

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Solution

The fourth proportional to 257,424,007.60, 386,136,011.40 and 257,424,007.60 is: 386,136,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,424,007.60 : 386,136,011.40 = 257,424,007.60 : x
  2. Step 2: Convert to fraction form
    257,424,007.60/386,136,011.40 = 257,424,007.60/x
  3. Step 3: Cross multiply
    257,424,007.60x = 386,136,011.40 × 257,424,007.60
  4. Step 4: Simplify right side
    257,424,007.60x = 99,400,679,533,267,280
  5. Step 5: Solve for x
    x = 99,400,679,533,267,280/257,424,007.60
  6. Step 6: Final answer
    x = 386,136,011.40

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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.