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Finding the Fourth Proportional to 256,091,214.70, 384,136,822.06 and 256,091,214.70

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Solution

The fourth proportional to 256,091,214.70, 384,136,822.06 and 256,091,214.70 is: 384,136,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,091,214.70 : 384,136,822.06 = 256,091,214.70 : x
  2. Step 2: Convert to fraction form
    256,091,214.70/384,136,822.06 = 256,091,214.70/x
  3. Step 3: Cross multiply
    256,091,214.70x = 384,136,822.06 × 256,091,214.70
  4. Step 4: Simplify right side
    256,091,214.70x = 98,374,065,372,343,152
  5. Step 5: Solve for x
    x = 98,374,065,372,343,152/256,091,214.70
  6. Step 6: Final answer
    x = 384,136,822.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.