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Finding the Fourth Proportional to 198,168,457,805.40, 297,252,686,708.10 and 198,168,457,805.40

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Solution

The fourth proportional to 198,168,457,805.40, 297,252,686,708.10 and 198,168,457,805.40 is: 297,252,686,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,168,457,805.40 : 297,252,686,708.10 = 198,168,457,805.40 : x
  2. Step 2: Convert to fraction form
    198,168,457,805.40/297,252,686,708.10 = 198,168,457,805.40/x
  3. Step 3: Cross multiply
    198,168,457,805.40x = 297,252,686,708.10 × 198,168,457,805.40
  4. Step 4: Simplify right side
    198,168,457,805.40x = 58,906,106,503,455,892,832,256
  5. Step 5: Solve for x
    x = 58,906,106,503,455,892,832,256/198,168,457,805.40
  6. Step 6: Final answer
    x = 297,252,686,708.10

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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.