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Finding the Fourth Proportional to 1,010,406,643.90, 1,515,609,965.85 and 1,010,406,643.90

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Solution

The fourth proportional to 1,010,406,643.90, 1,515,609,965.85 and 1,010,406,643.90 is: 1,515,609,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,406,643.90 : 1,515,609,965.85 = 1,010,406,643.90 : x
  2. Step 2: Convert to fraction form
    1,010,406,643.90/1,515,609,965.85 = 1,010,406,643.90/x
  3. Step 3: Cross multiply
    1,010,406,643.90x = 1,515,609,965.85 × 1,010,406,643.90
  4. Step 4: Simplify right side
    1,010,406,643.90x = 1,531,382,379,055,891,968
  5. Step 5: Solve for x
    x = 1,531,382,379,055,891,968/1,010,406,643.90
  6. Step 6: Final answer
    x = 1,515,609,965.85

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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.