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Finding the Fourth Proportional to 96,997,068,987.20, 145,495,603,480.80 and 96,997,068,987.20

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Solution

The fourth proportional to 96,997,068,987.20, 145,495,603,480.80 and 96,997,068,987.20 is: 145,495,603,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,997,068,987.20 : 145,495,603,480.80 = 96,997,068,987.20 : x
  2. Step 2: Convert to fraction form
    96,997,068,987.20/145,495,603,480.80 = 96,997,068,987.20/x
  3. Step 3: Cross multiply
    96,997,068,987.20x = 145,495,603,480.80 × 96,997,068,987.20
  4. Step 4: Simplify right side
    96,997,068,987.20x = 14,112,647,088,161,452,720,128
  5. Step 5: Solve for x
    x = 14,112,647,088,161,452,720,128/96,997,068,987.20
  6. Step 6: Final answer
    x = 145,495,603,480.80

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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.