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Finding the Fourth Proportional to 849,570,768,000.20, 1,274,356,152,000.50 and 849,570,768,000.20

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Solution

The fourth proportional to 849,570,768,000.20, 1,274,356,152,000.50 and 849,570,768,000.20 is: 1,274,356,152,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,570,768,000.20 : 1,274,356,152,000.50 = 849,570,768,000.20 : x
  2. Step 2: Convert to fraction form
    849,570,768,000.20/1,274,356,152,000.50 = 849,570,768,000.20/x
  3. Step 3: Cross multiply
    849,570,768,000.20x = 1,274,356,152,000.50 × 849,570,768,000.20
  4. Step 4: Simplify right side
    849,570,768,000.20x = 1,082,655,734,760,844,291,997,696
  5. Step 5: Solve for x
    x = 1,082,655,734,760,844,291,997,696/849,570,768,000.20
  6. Step 6: Final answer
    x = 1,274,356,152,000.50

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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.