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Finding the Fourth Proportional to 441,044,200.05, 661,566,300.08 and 441,044,200.05

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Solution

The fourth proportional to 441,044,200.05, 661,566,300.08 and 441,044,200.05 is: 661,566,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,044,200.05 : 661,566,300.08 = 441,044,200.05 : x
  2. Step 2: Convert to fraction form
    441,044,200.05/661,566,300.08 = 441,044,200.05/x
  3. Step 3: Cross multiply
    441,044,200.05x = 661,566,300.08 × 441,044,200.05
  4. Step 4: Simplify right side
    441,044,200.05x = 291,779,979,596,616,640
  5. Step 5: Solve for x
    x = 291,779,979,596,616,640/441,044,200.05
  6. Step 6: Final answer
    x = 661,566,300.08

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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.