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Finding the Fourth Proportional to 254,916,407,848.80, 382,374,611,773.20 and 254,916,407,848.80

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Solution

The fourth proportional to 254,916,407,848.80, 382,374,611,773.20 and 254,916,407,848.80 is: 382,374,611,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,916,407,848.80 : 382,374,611,773.20 = 254,916,407,848.80 : x
  2. Step 2: Convert to fraction form
    254,916,407,848.80/382,374,611,773.20 = 254,916,407,848.80/x
  3. Step 3: Cross multiply
    254,916,407,848.80x = 382,374,611,773.20 × 254,916,407,848.80
  4. Step 4: Simplify right side
    254,916,407,848.80x = 97,473,562,485,803,613,945,856
  5. Step 5: Solve for x
    x = 97,473,562,485,803,613,945,856/254,916,407,848.80
  6. Step 6: Final answer
    x = 382,374,611,773.20

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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.