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Finding the Fourth Proportional to 194,806,809.60, 292,210,214.40 and 120,830,222.40

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Solution

The fourth proportional to 194,806,809.60, 292,210,214.40 and 120,830,222.40 is: 181,245,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,806,809.60 : 292,210,214.40 = 120,830,222.40 : x
  2. Step 2: Convert to fraction form
    194,806,809.60/292,210,214.40 = 120,830,222.40/x
  3. Step 3: Cross multiply
    194,806,809.60x = 292,210,214.40 × 120,830,222.40
  4. Step 4: Simplify right side
    194,806,809.60x = 35,307,825,193,503,680
  5. Step 5: Solve for x
    x = 35,307,825,193,503,680/194,806,809.60
  6. Step 6: Final answer
    x = 181,245,333.60

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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.