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Finding the Fourth Proportional to 397,547,795.60, 596,657,616.60 and 155,384,493.20

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Solution

The fourth proportional to 397,547,795.60, 596,657,616.60 and 155,384,493.20 is: 233,208,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,547,795.60 : 596,657,616.60 = 155,384,493.20 : x
  2. Step 2: Convert to fraction form
    397,547,795.60/596,657,616.60 = 155,384,493.20/x
  3. Step 3: Cross multiply
    397,547,795.60x = 596,657,616.60 × 155,384,493.20
  4. Step 4: Simplify right side
    397,547,795.60x = 92,711,341,369,310,896
  5. Step 5: Solve for x
    x = 92,711,341,369,310,896/397,547,795.60
  6. Step 6: Final answer
    x = 233,208,037.86

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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.