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Finding the Fourth Proportional to 209,546,288.80, 314,461,150.80 and 117,429,848.80

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Solution

The fourth proportional to 209,546,288.80, 314,461,150.80 and 117,429,848.80 is: 176,224,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,546,288.80 : 314,461,150.80 = 117,429,848.80 : x
  2. Step 2: Convert to fraction form
    209,546,288.80/314,461,150.80 = 117,429,848.80/x
  3. Step 3: Cross multiply
    209,546,288.80x = 314,461,150.80 × 117,429,848.80
  4. Step 4: Simplify right side
    209,546,288.80x = 36,927,125,391,918,000
  5. Step 5: Solve for x
    x = 36,927,125,391,918,000/209,546,288.80
  6. Step 6: Final answer
    x = 176,224,191.82

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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.