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Finding the Fourth Proportional to 590,976,014.10, 828,726,908.70 and 590,976,014.10

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Solution

The fourth proportional to 590,976,014.10, 828,726,908.70 and 590,976,014.10 is: 828,726,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,976,014.10 : 828,726,908.70 = 590,976,014.10 : x
  2. Step 2: Convert to fraction form
    590,976,014.10/828,726,908.70 = 590,976,014.10/x
  3. Step 3: Cross multiply
    590,976,014.10x = 828,726,908.70 × 590,976,014.10
  4. Step 4: Simplify right side
    590,976,014.10x = 489,757,725,280,940,672
  5. Step 5: Solve for x
    x = 489,757,725,280,940,672/590,976,014.10
  6. Step 6: Final answer
    x = 828,726,908.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.