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Finding the Fourth Proportional to 174,754,206,070.80, 262,131,309,106.20 and 174,754,206,070.80

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Solution

The fourth proportional to 174,754,206,070.80, 262,131,309,106.20 and 174,754,206,070.80 is: 262,131,309,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,754,206,070.80 : 262,131,309,106.20 = 174,754,206,070.80 : x
  2. Step 2: Convert to fraction form
    174,754,206,070.80/262,131,309,106.20 = 174,754,206,070.80/x
  3. Step 3: Cross multiply
    174,754,206,070.80x = 262,131,309,106.20 × 174,754,206,070.80
  4. Step 4: Simplify right side
    174,754,206,070.80x = 45,808,548,809,153,447,985,152
  5. Step 5: Solve for x
    x = 45,808,548,809,153,447,985,152/174,754,206,070.80
  6. Step 6: Final answer
    x = 262,131,309,106.20

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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.