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Finding the Fourth Proportional to 279,547,262,834.40, 419,320,894,251.60 and 279,547,262,834.40

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Solution

The fourth proportional to 279,547,262,834.40, 419,320,894,251.60 and 279,547,262,834.40 is: 419,320,894,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,547,262,834.40 : 419,320,894,251.60 = 279,547,262,834.40 : x
  2. Step 2: Convert to fraction form
    279,547,262,834.40/419,320,894,251.60 = 279,547,262,834.40/x
  3. Step 3: Cross multiply
    279,547,262,834.40x = 419,320,894,251.60 × 279,547,262,834.40
  4. Step 4: Simplify right side
    279,547,262,834.40x = 117,220,008,237,307,676,065,792
  5. Step 5: Solve for x
    x = 117,220,008,237,307,676,065,792/279,547,262,834.40
  6. Step 6: Final answer
    x = 419,320,894,251.60

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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.