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Finding the Fourth Proportional to 424,092,996,007.60, 636,139,494,011.40 and 424,092,996,007.60

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Solution

The fourth proportional to 424,092,996,007.60, 636,139,494,011.40 and 424,092,996,007.60 is: 636,139,494,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,092,996,007.60 : 636,139,494,011.40 = 424,092,996,007.60 : x
  2. Step 2: Convert to fraction form
    424,092,996,007.60/636,139,494,011.40 = 424,092,996,007.60/x
  3. Step 3: Cross multiply
    424,092,996,007.60x = 636,139,494,011.40 × 424,092,996,007.60
  4. Step 4: Simplify right side
    424,092,996,007.60x = 269,782,303,894,053,335,334,912
  5. Step 5: Solve for x
    x = 269,782,303,894,053,335,334,912/424,092,996,007.60
  6. Step 6: Final answer
    x = 636,139,494,011.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.