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Finding the Fourth Proportional to 279,475,442,877.60, 419,213,164,316.40 and 279,475,442,877.60

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Solution

The fourth proportional to 279,475,442,877.60, 419,213,164,316.40 and 279,475,442,877.60 is: 419,213,164,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,475,442,877.60 : 419,213,164,316.40 = 279,475,442,877.60 : x
  2. Step 2: Convert to fraction form
    279,475,442,877.60/419,213,164,316.40 = 279,475,442,877.60/x
  3. Step 3: Cross multiply
    279,475,442,877.60x = 419,213,164,316.40 × 279,475,442,877.60
  4. Step 4: Simplify right side
    279,475,442,877.60x = 117,159,784,757,445,984,780,288
  5. Step 5: Solve for x
    x = 117,159,784,757,445,984,780,288/279,475,442,877.60
  6. Step 6: Final answer
    x = 419,213,164,316.40

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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.