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Finding the Fourth Proportional to 1,610,713,429.64, 2,414,503,207.69 and 770,137,735.91

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Solution

The fourth proportional to 1,610,713,429.64, 2,414,503,207.69 and 770,137,735.91 is: 1,154,457,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,713,429.64 : 2,414,503,207.69 = 770,137,735.91 : x
  2. Step 2: Convert to fraction form
    1,610,713,429.64/2,414,503,207.69 = 770,137,735.91/x
  3. Step 3: Cross multiply
    1,610,713,429.64x = 2,414,503,207.69 × 770,137,735.91
  4. Step 4: Simplify right side
    1,610,713,429.64x = 1,859,500,033,709,847,552
  5. Step 5: Solve for x
    x = 1,859,500,033,709,847,552/1,610,713,429.64
  6. Step 6: Final answer
    x = 1,154,457,397.26

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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.