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Finding the Fourth Proportional to 849,570,768,000.90, 1,274,356,152,001.40 and 849,570,768,000.90

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Solution

The fourth proportional to 849,570,768,000.90, 1,274,356,152,001.40 and 849,570,768,000.90 is: 1,274,356,152,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,570,768,000.90 : 1,274,356,152,001.40 = 849,570,768,000.90 : x
  2. Step 2: Convert to fraction form
    849,570,768,000.90/1,274,356,152,001.40 = 849,570,768,000.90/x
  3. Step 3: Cross multiply
    849,570,768,000.90x = 1,274,356,152,001.40 × 849,570,768,000.90
  4. Step 4: Simplify right side
    849,570,768,000.90x = 1,082,655,734,762,500,941,414,400
  5. Step 5: Solve for x
    x = 1,082,655,734,762,500,941,414,400/849,570,768,000.90
  6. Step 6: Final answer
    x = 1,274,356,152,001.40

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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.