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Finding the Fourth Proportional to 310,436,345.80, 465,654,518.70 and 264,271,837.60

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Solution

The fourth proportional to 310,436,345.80, 465,654,518.70 and 264,271,837.60 is: 396,407,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,436,345.80 : 465,654,518.70 = 264,271,837.60 : x
  2. Step 2: Convert to fraction form
    310,436,345.80/465,654,518.70 = 264,271,837.60/x
  3. Step 3: Cross multiply
    310,436,345.80x = 465,654,518.70 × 264,271,837.60
  4. Step 4: Simplify right side
    310,436,345.80x = 123,059,375,343,592,560
  5. Step 5: Solve for x
    x = 123,059,375,343,592,560/310,436,345.80
  6. Step 6: Final answer
    x = 396,407,756.40

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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.