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Finding the Fourth Proportional to 1,854,296,064,152, 2,781,444,096,228 and 1,854,296,064,152

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Solution

The fourth proportional to 1,854,296,064,152, 2,781,444,096,228 and 1,854,296,064,152 is: 2,781,444,096,228

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,296,064,152 : 2,781,444,096,228 = 1,854,296,064,152 : x
  2. Step 2: Convert to fraction form
    1,854,296,064,152/2,781,444,096,228 = 1,854,296,064,152/x
  3. Step 3: Cross multiply
    1,854,296,064,152x = 2,781,444,096,228 × 1,854,296,064,152
  4. Step 4: Simplify right side
    1,854,296,064,152x = 5,157,620,840,294,397,482,369,024
  5. Step 5: Solve for x
    x = 5,157,620,840,294,397,482,369,024/1,854,296,064,152
  6. Step 6: Final answer
    x = 2,781,444,096,228

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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.