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Finding the Fourth Proportional to 709,713,997.80, 1,064,570,996.70 and 709,713,997.80

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Solution

The fourth proportional to 709,713,997.80, 1,064,570,996.70 and 709,713,997.80 is: 1,064,570,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,713,997.80 : 1,064,570,996.70 = 709,713,997.80 : x
  2. Step 2: Convert to fraction form
    709,713,997.80/1,064,570,996.70 = 709,713,997.80/x
  3. Step 3: Cross multiply
    709,713,997.80x = 1,064,570,996.70 × 709,713,997.80
  4. Step 4: Simplify right side
    709,713,997.80x = 755,540,938,009,887,616
  5. Step 5: Solve for x
    x = 755,540,938,009,887,616/709,713,997.80
  6. Step 6: Final answer
    x = 1,064,570,996.70

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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.