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Finding the Fourth Proportional to 337,969,152,021.20, 506,953,728,031.80 and 337,969,152,021.20

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Solution

The fourth proportional to 337,969,152,021.20, 506,953,728,031.80 and 337,969,152,021.20 is: 506,953,728,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,969,152,021.20 : 506,953,728,031.80 = 337,969,152,021.20 : x
  2. Step 2: Convert to fraction form
    337,969,152,021.20/506,953,728,031.80 = 337,969,152,021.20/x
  3. Step 3: Cross multiply
    337,969,152,021.20x = 506,953,728,031.80 × 337,969,152,021.20
  4. Step 4: Simplify right side
    337,969,152,021.20x = 171,334,721,576,893,490,921,472
  5. Step 5: Solve for x
    x = 171,334,721,576,893,490,921,472/337,969,152,021.20
  6. Step 6: Final answer
    x = 506,953,728,031.80

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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.