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Finding the Fourth Proportional to 424,092,996,009.60, 636,139,494,014.40 and 424,092,996,009.60

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Solution

The fourth proportional to 424,092,996,009.60, 636,139,494,014.40 and 424,092,996,009.60 is: 636,139,494,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,092,996,009.60 : 636,139,494,014.40 = 424,092,996,009.60 : x
  2. Step 2: Convert to fraction form
    424,092,996,009.60/636,139,494,014.40 = 424,092,996,009.60/x
  3. Step 3: Cross multiply
    424,092,996,009.60x = 636,139,494,014.40 × 424,092,996,009.60
  4. Step 4: Simplify right side
    424,092,996,009.60x = 269,782,303,896,597,902,131,200
  5. Step 5: Solve for x
    x = 269,782,303,896,597,902,131,200/424,092,996,009.60
  6. Step 6: Final answer
    x = 636,139,494,014.40

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1.5x scale

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.