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Finding the Fourth Proportional to 310,930,394,897.20, 466,395,592,345.80 and 310,930,394,897.20

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Solution

The fourth proportional to 310,930,394,897.20, 466,395,592,345.80 and 310,930,394,897.20 is: 466,395,592,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,930,394,897.20 : 466,395,592,345.80 = 310,930,394,897.20 : x
  2. Step 2: Convert to fraction form
    310,930,394,897.20/466,395,592,345.80 = 310,930,394,897.20/x
  3. Step 3: Cross multiply
    310,930,394,897.20x = 466,395,592,345.80 × 310,930,394,897.20
  4. Step 4: Simplify right side
    310,930,394,897.20x = 145,016,565,706,393,103,892,480
  5. Step 5: Solve for x
    x = 145,016,565,706,393,103,892,480/310,930,394,897.20
  6. Step 6: Final answer
    x = 466,395,592,345.80

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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.