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Finding the Fourth Proportional to 433,739,016,000.78, 650,608,524,001.20 and 433,739,016,000.78

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Solution

The fourth proportional to 433,739,016,000.78, 650,608,524,001.20 and 433,739,016,000.78 is: 650,608,524,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,739,016,000.78 : 650,608,524,001.20 = 433,739,016,000.78 : x
  2. Step 2: Convert to fraction form
    433,739,016,000.78/650,608,524,001.20 = 433,739,016,000.78/x
  3. Step 3: Cross multiply
    433,739,016,000.78x = 650,608,524,001.20 × 433,739,016,000.78
  4. Step 4: Simplify right side
    433,739,016,000.78x = 282,194,301,002,000,357,130,240
  5. Step 5: Solve for x
    x = 282,194,301,002,000,357,130,240/433,739,016,000.78
  6. Step 6: Final answer
    x = 650,608,524,001.20

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1.5x scale

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.