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Finding the Fourth Proportional to 580,015,248,005.20, 870,022,872,007.80 and 580,015,248,005.20

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Solution

The fourth proportional to 580,015,248,005.20, 870,022,872,007.80 and 580,015,248,005.20 is: 870,022,872,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,015,248,005.20 : 870,022,872,007.80 = 580,015,248,005.20 : x
  2. Step 2: Convert to fraction form
    580,015,248,005.20/870,022,872,007.80 = 580,015,248,005.20/x
  3. Step 3: Cross multiply
    580,015,248,005.20x = 870,022,872,007.80 × 580,015,248,005.20
  4. Step 4: Simplify right side
    580,015,248,005.20x = 504,626,531,877,800,495,808,512
  5. Step 5: Solve for x
    x = 504,626,531,877,800,495,808,512/580,015,248,005.20
  6. Step 6: Final answer
    x = 870,022,872,007.80

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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.