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Finding the Fourth Proportional to 302,616,100.05, 453,924,150.09 and 302,616,100.05

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Solution

The fourth proportional to 302,616,100.05, 453,924,150.09 and 302,616,100.05 is: 453,924,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,616,100.05 : 453,924,150.09 = 302,616,100.05 : x
  2. Step 2: Convert to fraction form
    302,616,100.05/453,924,150.09 = 302,616,100.05/x
  3. Step 3: Cross multiply
    302,616,100.05x = 453,924,150.09 × 302,616,100.05
  4. Step 4: Simplify right side
    302,616,100.05x = 137,364,756,018,746,656
  5. Step 5: Solve for x
    x = 137,364,756,018,746,656/302,616,100.05
  6. Step 6: Final answer
    x = 453,924,150.09

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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.