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Finding the Fourth Proportional to 713,232,002.30, 1,069,848,003.45 and 598,440,746.30

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Solution

The fourth proportional to 713,232,002.30, 1,069,848,003.45 and 598,440,746.30 is: 897,661,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,232,002.30 : 1,069,848,003.45 = 598,440,746.30 : x
  2. Step 2: Convert to fraction form
    713,232,002.30/1,069,848,003.45 = 598,440,746.30/x
  3. Step 3: Cross multiply
    713,232,002.30x = 1,069,848,003.45 × 598,440,746.30
  4. Step 4: Simplify right side
    713,232,002.30x = 640,240,637,612,182,912
  5. Step 5: Solve for x
    x = 640,240,637,612,182,912/713,232,002.30
  6. Step 6: Final answer
    x = 897,661,119.45

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Double scale
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1.5x scale

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.