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Finding the Fourth Proportional to 877,855,807.10, 1,315,440,017.85 and 829,482,866.30

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Solution

The fourth proportional to 877,855,807.10, 1,315,440,017.85 and 829,482,866.30 is: 1,242,954,648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,855,807.10 : 1,315,440,017.85 = 829,482,866.30 : x
  2. Step 2: Convert to fraction form
    877,855,807.10/1,315,440,017.85 = 829,482,866.30/x
  3. Step 3: Cross multiply
    877,855,807.10x = 1,315,440,017.85 × 829,482,866.30
  4. Step 4: Simplify right side
    877,855,807.10x = 1,091,134,956,451,940,992
  5. Step 5: Solve for x
    x = 1,091,134,956,451,940,992/877,855,807.10
  6. Step 6: Final answer
    x = 1,242,954,648.85

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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.