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Finding the Fourth Proportional to 423,322,078.20, 634,983,117.30 and 423,322,078.20

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Solution

The fourth proportional to 423,322,078.20, 634,983,117.30 and 423,322,078.20 is: 634,983,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,322,078.20 : 634,983,117.30 = 423,322,078.20 : x
  2. Step 2: Convert to fraction form
    423,322,078.20/634,983,117.30 = 423,322,078.20/x
  3. Step 3: Cross multiply
    423,322,078.20x = 634,983,117.30 × 423,322,078.20
  4. Step 4: Simplify right side
    423,322,078.20x = 268,802,372,837,350,336
  5. Step 5: Solve for x
    x = 268,802,372,837,350,336/423,322,078.20
  6. Step 6: Final answer
    x = 634,983,117.30

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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.