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Finding the Fourth Proportional to 469,865,536.70, 704,798,305.05 and 400,329,434.30

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Solution

The fourth proportional to 469,865,536.70, 704,798,305.05 and 400,329,434.30 is: 600,494,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,865,536.70 : 704,798,305.05 = 400,329,434.30 : x
  2. Step 2: Convert to fraction form
    469,865,536.70/704,798,305.05 = 400,329,434.30/x
  3. Step 3: Cross multiply
    469,865,536.70x = 704,798,305.05 × 400,329,434.30
  4. Step 4: Simplify right side
    469,865,536.70x = 282,151,506,756,265,312
  5. Step 5: Solve for x
    x = 282,151,506,756,265,312/469,865,536.70
  6. Step 6: Final answer
    x = 600,494,151.45

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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.