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Finding the Fourth Proportional to 754,796,967.78, 1,041,607,379.70 and 441,584,242.82

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Solution

The fourth proportional to 754,796,967.78, 1,041,607,379.70 and 441,584,242.82 is: 609,378,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,796,967.78 : 1,041,607,379.70 = 441,584,242.82 : x
  2. Step 2: Convert to fraction form
    754,796,967.78/1,041,607,379.70 = 441,584,242.82/x
  3. Step 3: Cross multiply
    754,796,967.78x = 1,041,607,379.70 × 441,584,242.82
  4. Step 4: Simplify right side
    754,796,967.78x = 459,957,406,075,340,736
  5. Step 5: Solve for x
    x = 459,957,406,075,340,736/754,796,967.78
  6. Step 6: Final answer
    x = 609,378,979.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.