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Finding the Fourth Proportional to 279,936,281.40, 392,313,901.80 and 279,936,281.40

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Solution

The fourth proportional to 279,936,281.40, 392,313,901.80 and 279,936,281.40 is: 392,313,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,281.40 : 392,313,901.80 = 279,936,281.40 : x
  2. Step 2: Convert to fraction form
    279,936,281.40/392,313,901.80 = 279,936,281.40/x
  3. Step 3: Cross multiply
    279,936,281.40x = 392,313,901.80 × 279,936,281.40
  4. Step 4: Simplify right side
    279,936,281.40x = 109,822,894,811,416,768
  5. Step 5: Solve for x
    x = 109,822,894,811,416,768/279,936,281.40
  6. Step 6: Final answer
    x = 392,313,901.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.