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Finding the Fourth Proportional to 713,232,000.30, 1,069,848,000.45 and 598,440,744.30

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Solution

The fourth proportional to 713,232,000.30, 1,069,848,000.45 and 598,440,744.30 is: 897,661,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,232,000.30 : 1,069,848,000.45 = 598,440,744.30 : x
  2. Step 2: Convert to fraction form
    713,232,000.30/1,069,848,000.45 = 598,440,744.30/x
  3. Step 3: Cross multiply
    713,232,000.30x = 1,069,848,000.45 × 598,440,744.30
  4. Step 4: Simplify right side
    713,232,000.30x = 640,240,633,677,164,672
  5. Step 5: Solve for x
    x = 640,240,633,677,164,672/713,232,000.30
  6. Step 6: Final answer
    x = 897,661,116.45

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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.