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Finding the Fourth Proportional to 8,288,547,814.15, 12,432,821,721.23 and 8,288,547,814.15

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Solution

The fourth proportional to 8,288,547,814.15, 12,432,821,721.23 and 8,288,547,814.15 is: 12,432,821,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288,547,814.15 : 12,432,821,721.23 = 8,288,547,814.15 : x
  2. Step 2: Convert to fraction form
    8,288,547,814.15/12,432,821,721.23 = 8,288,547,814.15/x
  3. Step 3: Cross multiply
    8,288,547,814.15x = 12,432,821,721.23 × 8,288,547,814.15
  4. Step 4: Simplify right side
    8,288,547,814.15x = 103,050,037,301,217,542,144
  5. Step 5: Solve for x
    x = 103,050,037,301,217,542,144/8,288,547,814.15
  6. Step 6: Final answer
    x = 12,432,821,721.23

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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.