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Finding the Fourth Proportional to 292,019,786,271.78, 438,029,679,407.70 and 292,019,786,271.78

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Solution

The fourth proportional to 292,019,786,271.78, 438,029,679,407.70 and 292,019,786,271.78 is: 438,029,679,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,019,786,271.78 : 438,029,679,407.70 = 292,019,786,271.78 : x
  2. Step 2: Convert to fraction form
    292,019,786,271.78/438,029,679,407.70 = 292,019,786,271.78/x
  3. Step 3: Cross multiply
    292,019,786,271.78x = 438,029,679,407.70 × 292,019,786,271.78
  4. Step 4: Simplify right side
    292,019,786,271.78x = 127,913,333,361,332,877,000,704
  5. Step 5: Solve for x
    x = 127,913,333,361,332,877,000,704/292,019,786,271.78
  6. Step 6: Final answer
    x = 438,029,679,407.70

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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.