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Finding the Fourth Proportional to 365,736,385,398.30, 548,604,578,097.45 and 365,736,385,398.30

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Solution

The fourth proportional to 365,736,385,398.30, 548,604,578,097.45 and 365,736,385,398.30 is: 548,604,578,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,736,385,398.30 : 548,604,578,097.45 = 365,736,385,398.30 : x
  2. Step 2: Convert to fraction form
    365,736,385,398.30/548,604,578,097.45 = 365,736,385,398.30/x
  3. Step 3: Cross multiply
    365,736,385,398.30x = 548,604,578,097.45 × 365,736,385,398.30
  4. Step 4: Simplify right side
    365,736,385,398.30x = 200,644,655,406,320,743,088,128
  5. Step 5: Solve for x
    x = 200,644,655,406,320,743,088,128/365,736,385,398.30
  6. Step 6: Final answer
    x = 548,604,578,097.45

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Double scale
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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.