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Finding the Fourth Proportional to 314,806,657.05, 472,270,510.80 and 120,702,934.80

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Solution

The fourth proportional to 314,806,657.05, 472,270,510.80 and 120,702,934.80 is: 181,077,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,806,657.05 : 472,270,510.80 = 120,702,934.80 : x
  2. Step 2: Convert to fraction form
    314,806,657.05/472,270,510.80 = 120,702,934.80/x
  3. Step 3: Cross multiply
    314,806,657.05x = 472,270,510.80 × 120,702,934.80
  4. Step 4: Simplify right side
    314,806,657.05x = 57,004,436,673,055,096
  5. Step 5: Solve for x
    x = 57,004,436,673,055,096/314,806,657.05
  6. Step 6: Final answer
    x = 181,077,608.74

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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.