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Finding the Fourth Proportional to 279,547,451,310.15, 419,321,176,965.23 and 279,547,451,310.15

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Solution

The fourth proportional to 279,547,451,310.15, 419,321,176,965.23 and 279,547,451,310.15 is: 419,321,176,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,547,451,310.15 : 419,321,176,965.23 = 279,547,451,310.15 : x
  2. Step 2: Convert to fraction form
    279,547,451,310.15/419,321,176,965.23 = 279,547,451,310.15/x
  3. Step 3: Cross multiply
    279,547,451,310.15x = 419,321,176,965.23 × 279,547,451,310.15
  4. Step 4: Simplify right side
    279,547,451,310.15x = 117,220,166,301,002,435,133,440
  5. Step 5: Solve for x
    x = 117,220,166,301,002,435,133,440/279,547,451,310.15
  6. Step 6: Final answer
    x = 419,321,176,965.23

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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.