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Finding the Fourth Proportional to 99,338,676,906.40, 149,008,015,359.60 and 99,338,676,906.40

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Solution

The fourth proportional to 99,338,676,906.40, 149,008,015,359.60 and 99,338,676,906.40 is: 149,008,015,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,338,676,906.40 : 149,008,015,359.60 = 99,338,676,906.40 : x
  2. Step 2: Convert to fraction form
    99,338,676,906.40/149,008,015,359.60 = 99,338,676,906.40/x
  3. Step 3: Cross multiply
    99,338,676,906.40x = 149,008,015,359.60 × 99,338,676,906.40
  4. Step 4: Simplify right side
    99,338,676,906.40x = 14,802,259,094,271,191,678,976
  5. Step 5: Solve for x
    x = 14,802,259,094,271,191,678,976/99,338,676,906.40
  6. Step 6: Final answer
    x = 149,008,015,359.60

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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.