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Finding the Fourth Proportional to 292,019,788,672.20, 438,029,683,008.30 and 292,019,788,672.20

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Solution

The fourth proportional to 292,019,788,672.20, 438,029,683,008.30 and 292,019,788,672.20 is: 438,029,683,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,019,788,672.20 : 438,029,683,008.30 = 292,019,788,672.20 : x
  2. Step 2: Convert to fraction form
    292,019,788,672.20/438,029,683,008.30 = 292,019,788,672.20/x
  3. Step 3: Cross multiply
    292,019,788,672.20x = 438,029,683,008.30 × 292,019,788,672.20
  4. Step 4: Simplify right side
    292,019,788,672.20x = 127,913,335,464,234,529,587,200
  5. Step 5: Solve for x
    x = 127,913,335,464,234,529,587,200/292,019,788,672.20
  6. Step 6: Final answer
    x = 438,029,683,008.30

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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.