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Finding the Fourth Proportional to 283,609,071,377.10, 425,413,607,065.65 and 283,609,071,377.10

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Solution

The fourth proportional to 283,609,071,377.10, 425,413,607,065.65 and 283,609,071,377.10 is: 425,413,607,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,609,071,377.10 : 425,413,607,065.65 = 283,609,071,377.10 : x
  2. Step 2: Convert to fraction form
    283,609,071,377.10/425,413,607,065.65 = 283,609,071,377.10/x
  3. Step 3: Cross multiply
    283,609,071,377.10x = 425,413,607,065.65 × 283,609,071,377.10
  4. Step 4: Simplify right side
    283,609,071,377.10x = 120,651,158,051,071,492,882,432
  5. Step 5: Solve for x
    x = 120,651,158,051,071,492,882,432/283,609,071,377.10
  6. Step 6: Final answer
    x = 425,413,607,065.65

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1.5x scale

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.