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Finding the Fourth Proportional to 200,097,700.32, 299,938,458.24 and 77,360,318.40

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Solution

The fourth proportional to 200,097,700.32, 299,938,458.24 and 77,360,318.40 is: 115,960,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,097,700.32 : 299,938,458.24 = 77,360,318.40 : x
  2. Step 2: Convert to fraction form
    200,097,700.32/299,938,458.24 = 77,360,318.40/x
  3. Step 3: Cross multiply
    200,097,700.32x = 299,938,458.24 × 77,360,318.40
  4. Step 4: Simplify right side
    200,097,700.32x = 23,203,334,629,851,508
  5. Step 5: Solve for x
    x = 23,203,334,629,851,508/200,097,700.32
  6. Step 6: Final answer
    x = 115,960,026.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.