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Finding the Fourth Proportional to 426,547,751.70, 639,821,627.55 and 392,955,431.70

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Solution

The fourth proportional to 426,547,751.70, 639,821,627.55 and 392,955,431.70 is: 589,433,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,547,751.70 : 639,821,627.55 = 392,955,431.70 : x
  2. Step 2: Convert to fraction form
    426,547,751.70/639,821,627.55 = 392,955,431.70/x
  3. Step 3: Cross multiply
    426,547,751.70x = 639,821,627.55 × 392,955,431.70
  4. Step 4: Simplify right side
    426,547,751.70x = 251,421,383,864,906,848
  5. Step 5: Solve for x
    x = 251,421,383,864,906,848/426,547,751.70
  6. Step 6: Final answer
    x = 589,433,147.55

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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.