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Finding the Fourth Proportional to 365,736,385,265.04, 548,604,577,897.60 and 365,736,385,265.04

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Solution

The fourth proportional to 365,736,385,265.04, 548,604,577,897.60 and 365,736,385,265.04 is: 548,604,577,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,736,385,265.04 : 548,604,577,897.60 = 365,736,385,265.04 : x
  2. Step 2: Convert to fraction form
    365,736,385,265.04/548,604,577,897.60 = 365,736,385,265.04/x
  3. Step 3: Cross multiply
    365,736,385,265.04x = 548,604,577,897.60 × 365,736,385,265.04
  4. Step 4: Simplify right side
    365,736,385,265.04x = 200,644,655,260,121,264,291,840
  5. Step 5: Solve for x
    x = 200,644,655,260,121,264,291,840/365,736,385,265.04
  6. Step 6: Final answer
    x = 548,604,577,897.60

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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.