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Finding the Fourth Proportional to 398,695,904.80, 596,700,164.40 and 398,695,904.80

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Solution

The fourth proportional to 398,695,904.80, 596,700,164.40 and 398,695,904.80 is: 596,700,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,695,904.80 : 596,700,164.40 = 398,695,904.80 : x
  2. Step 2: Convert to fraction form
    398,695,904.80/596,700,164.40 = 398,695,904.80/x
  3. Step 3: Cross multiply
    398,695,904.80x = 596,700,164.40 × 398,695,904.80
  4. Step 4: Simplify right side
    398,695,904.80x = 237,901,911,939,766,752
  5. Step 5: Solve for x
    x = 237,901,911,939,766,752/398,695,904.80
  6. Step 6: Final answer
    x = 596,700,164.40

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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.