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Finding the Fourth Proportional to 132,055,699.60, 198,118,978.80 and 117,777,651.40

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Solution

The fourth proportional to 132,055,699.60, 198,118,978.80 and 117,777,651.40 is: 176,698,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,055,699.60 : 198,118,978.80 = 117,777,651.40 : x
  2. Step 2: Convert to fraction form
    132,055,699.60/198,118,978.80 = 117,777,651.40/x
  3. Step 3: Cross multiply
    132,055,699.60x = 198,118,978.80 × 117,777,651.40
  4. Step 4: Simplify right side
    132,055,699.60x = 23,333,988,020,830,392
  5. Step 5: Solve for x
    x = 23,333,988,020,830,392/132,055,699.60
  6. Step 6: Final answer
    x = 176,698,075.82

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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.