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Finding the Fourth Proportional to 38,457,677,999.80, 57,686,516,999.70 and 38,457,677,999.80

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Solution

The fourth proportional to 38,457,677,999.80, 57,686,516,999.70 and 38,457,677,999.80 is: 57,686,516,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457,677,999.80 : 57,686,516,999.70 = 38,457,677,999.80 : x
  2. Step 2: Convert to fraction form
    38,457,677,999.80/57,686,516,999.70 = 38,457,677,999.80/x
  3. Step 3: Cross multiply
    38,457,677,999.80x = 57,686,516,999.70 × 38,457,677,999.80
  4. Step 4: Simplify right side
    38,457,677,999.80x = 2,218,489,495,704,451,416,064
  5. Step 5: Solve for x
    x = 2,218,489,495,704,451,416,064/38,457,677,999.80
  6. Step 6: Final answer
    x = 57,686,516,999.70

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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.