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Finding the Fourth Proportional to 284,655,748.42, 427,041,859.02 and 97,885,434.74

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Solution

The fourth proportional to 284,655,748.42, 427,041,859.02 and 97,885,434.74 is: 146,848,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,655,748.42 : 427,041,859.02 = 97,885,434.74 : x
  2. Step 2: Convert to fraction form
    284,655,748.42/427,041,859.02 = 97,885,434.74/x
  3. Step 3: Cross multiply
    284,655,748.42x = 427,041,859.02 × 97,885,434.74
  4. Step 4: Simplify right side
    284,655,748.42x = 41,801,178,019,725,856
  5. Step 5: Solve for x
    x = 41,801,178,019,725,856/284,655,748.42
  6. Step 6: Final answer
    x = 146,848,178.03

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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.