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Finding the Fourth Proportional to 26,816,176,816.70, 40,224,265,225.05 and 26,816,176,816.70

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Solution

The fourth proportional to 26,816,176,816.70, 40,224,265,225.05 and 26,816,176,816.70 is: 40,224,265,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,816,176,816.70 : 40,224,265,225.05 = 26,816,176,816.70 : x
  2. Step 2: Convert to fraction form
    26,816,176,816.70/40,224,265,225.05 = 26,816,176,816.70/x
  3. Step 3: Cross multiply
    26,816,176,816.70x = 40,224,265,225.05 × 26,816,176,816.70
  4. Step 4: Simplify right side
    26,816,176,816.70x = 1,078,661,008,596,777,959,424
  5. Step 5: Solve for x
    x = 1,078,661,008,596,777,959,424/26,816,176,816.70
  6. Step 6: Final answer
    x = 40,224,265,225.05

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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.