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Finding the Fourth Proportional to 97,039,231,878.90, 145,558,847,818.35 and 97,039,231,878.90

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Solution

The fourth proportional to 97,039,231,878.90, 145,558,847,818.35 and 97,039,231,878.90 is: 145,558,847,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,039,231,878.90 : 145,558,847,818.35 = 97,039,231,878.90 : x
  2. Step 2: Convert to fraction form
    97,039,231,878.90/145,558,847,818.35 = 97,039,231,878.90/x
  3. Step 3: Cross multiply
    97,039,231,878.90x = 145,558,847,818.35 × 97,039,231,878.90
  4. Step 4: Simplify right side
    97,039,231,878.90x = 14,124,918,785,470,382,473,216
  5. Step 5: Solve for x
    x = 14,124,918,785,470,382,473,216/97,039,231,878.90
  6. Step 6: Final answer
    x = 145,558,847,818.35

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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.