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Finding the Fourth Proportional to 17,877,462,048.80, 26,816,193,073.20 and 17,877,462,048.80

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Solution

The fourth proportional to 17,877,462,048.80, 26,816,193,073.20 and 17,877,462,048.80 is: 26,816,193,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877,462,048.80 : 26,816,193,073.20 = 17,877,462,048.80 : x
  2. Step 2: Convert to fraction form
    17,877,462,048.80/26,816,193,073.20 = 17,877,462,048.80/x
  3. Step 3: Cross multiply
    17,877,462,048.80x = 26,816,193,073.20 × 17,877,462,048.80
  4. Step 4: Simplify right side
    17,877,462,048.80x = 479,405,473,959,426,457,600
  5. Step 5: Solve for x
    x = 479,405,473,959,426,457,600/17,877,462,048.80
  6. Step 6: Final answer
    x = 26,816,193,073.20

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Double scale
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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.