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Finding the Fourth Proportional to 971,916,783.14, 1,457,939,821.08 and 341,572,604.78

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Solution

The fourth proportional to 971,916,783.14, 1,457,939,821.08 and 341,572,604.78 is: 512,381,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,916,783.14 : 1,457,939,821.08 = 341,572,604.78 : x
  2. Step 2: Convert to fraction form
    971,916,783.14/1,457,939,821.08 = 341,572,604.78/x
  3. Step 3: Cross multiply
    971,916,783.14x = 1,457,939,821.08 × 341,572,604.78
  4. Step 4: Simplify right side
    971,916,783.14x = 497,992,302,298,782,656
  5. Step 5: Solve for x
    x = 497,992,302,298,782,656/971,916,783.14
  6. Step 6: Final answer
    x = 512,381,626.63

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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.