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Finding the Fourth Proportional to 369,549,418.80, 509,978,357.58 and 202,286,634.06

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Solution

The fourth proportional to 369,549,418.80, 509,978,357.58 and 202,286,634.06 is: 279,155,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,549,418.80 : 509,978,357.58 = 202,286,634.06 : x
  2. Step 2: Convert to fraction form
    369,549,418.80/509,978,357.58 = 202,286,634.06/x
  3. Step 3: Cross multiply
    369,549,418.80x = 509,978,357.58 × 202,286,634.06
  4. Step 4: Simplify right side
    369,549,418.80x = 103,161,805,398,305,280
  5. Step 5: Solve for x
    x = 103,161,805,398,305,280/369,549,418.80
  6. Step 6: Final answer
    x = 279,155,642.39

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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.