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Finding the Fourth Proportional to 32,985,591,870.30, 49,478,387,805.45 and 32,985,591,870.30

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Solution

The fourth proportional to 32,985,591,870.30, 49,478,387,805.45 and 32,985,591,870.30 is: 49,478,387,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,985,591,870.30 : 49,478,387,805.45 = 32,985,591,870.30 : x
  2. Step 2: Convert to fraction form
    32,985,591,870.30/49,478,387,805.45 = 32,985,591,870.30/x
  3. Step 3: Cross multiply
    32,985,591,870.30x = 49,478,387,805.45 × 32,985,591,870.30
  4. Step 4: Simplify right side
    32,985,591,870.30x = 1,632,073,906,551,001,972,736
  5. Step 5: Solve for x
    x = 1,632,073,906,551,001,972,736/32,985,591,870.30
  6. Step 6: Final answer
    x = 49,478,387,805.45

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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.