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Finding the Fourth Proportional to 404,258,932.80, 606,388,399.20 and 400,857,710.40

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Solution

The fourth proportional to 404,258,932.80, 606,388,399.20 and 400,857,710.40 is: 601,286,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,258,932.80 : 606,388,399.20 = 400,857,710.40 : x
  2. Step 2: Convert to fraction form
    404,258,932.80/606,388,399.20 = 400,857,710.40/x
  3. Step 3: Cross multiply
    404,258,932.80x = 606,388,399.20 × 400,857,710.40
  4. Step 4: Simplify right side
    404,258,932.80x = 243,075,465,316,433,184
  5. Step 5: Solve for x
    x = 243,075,465,316,433,184/404,258,932.80
  6. Step 6: Final answer
    x = 601,286,565.60

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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.