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Finding the Fourth Proportional to 477,320,728.80, 670,063,005.60 and 477,320,728.80

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Solution

The fourth proportional to 477,320,728.80, 670,063,005.60 and 477,320,728.80 is: 670,063,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,320,728.80 : 670,063,005.60 = 477,320,728.80 : x
  2. Step 2: Convert to fraction form
    477,320,728.80/670,063,005.60 = 477,320,728.80/x
  3. Step 3: Cross multiply
    477,320,728.80x = 670,063,005.60 × 477,320,728.80
  4. Step 4: Simplify right side
    477,320,728.80x = 319,834,962,174,910,528
  5. Step 5: Solve for x
    x = 319,834,962,174,910,528/477,320,728.80
  6. Step 6: Final answer
    x = 670,063,005.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.