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Finding the Fourth Proportional to 326,032,331.40, 489,048,497.10 and 326,032,331.40

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Solution

The fourth proportional to 326,032,331.40, 489,048,497.10 and 326,032,331.40 is: 489,048,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,032,331.40 : 489,048,497.10 = 326,032,331.40 : x
  2. Step 2: Convert to fraction form
    326,032,331.40/489,048,497.10 = 326,032,331.40/x
  3. Step 3: Cross multiply
    326,032,331.40x = 489,048,497.10 × 326,032,331.40
  4. Step 4: Simplify right side
    326,032,331.40x = 159,445,621,677,179,136
  5. Step 5: Solve for x
    x = 159,445,621,677,179,136/326,032,331.40
  6. Step 6: Final answer
    x = 489,048,497.10

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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.