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Finding the Fourth Proportional to 103,429,129,967.10, 155,143,694,950.65 and 103,429,129,967.10

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Solution

The fourth proportional to 103,429,129,967.10, 155,143,694,950.65 and 103,429,129,967.10 is: 155,143,694,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,429,129,967.10 : 155,143,694,950.65 = 103,429,129,967.10 : x
  2. Step 2: Convert to fraction form
    103,429,129,967.10/155,143,694,950.65 = 103,429,129,967.10/x
  3. Step 3: Cross multiply
    103,429,129,967.10x = 155,143,694,950.65 × 103,429,129,967.10
  4. Step 4: Simplify right side
    103,429,129,967.10x = 16,046,377,388,626,895,962,112
  5. Step 5: Solve for x
    x = 16,046,377,388,626,895,962,112/103,429,129,967.10
  6. Step 6: Final answer
    x = 155,143,694,950.65

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Double scale
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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.