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Finding the Fourth Proportional to 149,170,176,009.40, 223,755,264,014.10 and 149,170,176,009.40

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Solution

The fourth proportional to 149,170,176,009.40, 223,755,264,014.10 and 149,170,176,009.40 is: 223,755,264,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,170,176,009.40 : 223,755,264,014.10 = 149,170,176,009.40 : x
  2. Step 2: Convert to fraction form
    149,170,176,009.40/223,755,264,014.10 = 149,170,176,009.40/x
  3. Step 3: Cross multiply
    149,170,176,009.40x = 223,755,264,014.10 × 149,170,176,009.40
  4. Step 4: Simplify right side
    149,170,176,009.40x = 33,377,612,116,013,061,505,024
  5. Step 5: Solve for x
    x = 33,377,612,116,013,061,505,024/149,170,176,009.40
  6. Step 6: Final answer
    x = 223,755,264,014.10

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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.