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Finding the Fourth Proportional to 301,812,906.30, 452,719,359.45 and 107,730,653.10

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Solution

The fourth proportional to 301,812,906.30, 452,719,359.45 and 107,730,653.10 is: 161,595,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,812,906.30 : 452,719,359.45 = 107,730,653.10 : x
  2. Step 2: Convert to fraction form
    301,812,906.30/452,719,359.45 = 107,730,653.10/x
  3. Step 3: Cross multiply
    301,812,906.30x = 452,719,359.45 × 107,730,653.10
  4. Step 4: Simplify right side
    301,812,906.30x = 48,771,752,264,562,152
  5. Step 5: Solve for x
    x = 48,771,752,264,562,152/301,812,906.30
  6. Step 6: Final answer
    x = 161,595,979.65

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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.