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Finding the Fourth Proportional to 713,232,005.80, 1,069,848,008.70 and 598,440,749.80

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Solution

The fourth proportional to 713,232,005.80, 1,069,848,008.70 and 598,440,749.80 is: 897,661,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,232,005.80 : 1,069,848,008.70 = 598,440,749.80 : x
  2. Step 2: Convert to fraction form
    713,232,005.80/1,069,848,008.70 = 598,440,749.80/x
  3. Step 3: Cross multiply
    713,232,005.80x = 1,069,848,008.70 × 598,440,749.80
  4. Step 4: Simplify right side
    713,232,005.80x = 640,240,644,498,464,896
  5. Step 5: Solve for x
    x = 640,240,644,498,464,896/713,232,005.80
  6. Step 6: Final answer
    x = 897,661,124.70

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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.