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Finding the Fourth Proportional to 314,806,661.05, 472,270,516.80 and 120,702,938.80

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Solution

The fourth proportional to 314,806,661.05, 472,270,516.80 and 120,702,938.80 is: 181,077,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,806,661.05 : 472,270,516.80 = 120,702,938.80 : x
  2. Step 2: Convert to fraction form
    314,806,661.05/472,270,516.80 = 120,702,938.80/x
  3. Step 3: Cross multiply
    314,806,661.05x = 472,270,516.80 × 120,702,938.80
  4. Step 4: Simplify right side
    314,806,661.05x = 57,004,439,286,354,768
  5. Step 5: Solve for x
    x = 57,004,439,286,354,768/314,806,661.05
  6. Step 6: Final answer
    x = 181,077,614.74

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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.