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Finding the Fourth Proportional to 1,300,607,729.80, 1,794,840,444.51 and 705,892,223.30

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Solution

The fourth proportional to 1,300,607,729.80, 1,794,840,444.51 and 705,892,223.30 is: 974,132,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,607,729.80 : 1,794,840,444.51 = 705,892,223.30 : x
  2. Step 2: Convert to fraction form
    1,300,607,729.80/1,794,840,444.51 = 705,892,223.30/x
  3. Step 3: Cross multiply
    1,300,607,729.80x = 1,794,840,444.51 × 705,892,223.30
  4. Step 4: Simplify right side
    1,300,607,729.80x = 1,266,963,911,843,923,968
  5. Step 5: Solve for x
    x = 1,266,963,911,843,923,968/1,300,607,729.80
  6. Step 6: Final answer
    x = 974,132,232.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.