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Finding the Fourth Proportional to 592,497,961.60, 827,456,412.80 and 592,497,961.60

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Solution

The fourth proportional to 592,497,961.60, 827,456,412.80 and 592,497,961.60 is: 827,456,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,497,961.60 : 827,456,412.80 = 592,497,961.60 : x
  2. Step 2: Convert to fraction form
    592,497,961.60/827,456,412.80 = 592,497,961.60/x
  3. Step 3: Cross multiply
    592,497,961.60x = 827,456,412.80 × 592,497,961.60
  4. Step 4: Simplify right side
    592,497,961.60x = 490,266,237,896,848,128
  5. Step 5: Solve for x
    x = 490,266,237,896,848,128/592,497,961.60
  6. Step 6: Final answer
    x = 827,456,412.80

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1.5x scale

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.