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Finding the Fourth Proportional to 469,738,411.40, 704,607,617.10 and 469,738,411.40

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Solution

The fourth proportional to 469,738,411.40, 704,607,617.10 and 469,738,411.40 is: 704,607,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,738,411.40 : 704,607,617.10 = 469,738,411.40 : x
  2. Step 2: Convert to fraction form
    469,738,411.40/704,607,617.10 = 469,738,411.40/x
  3. Step 3: Cross multiply
    469,738,411.40x = 704,607,617.10 × 469,738,411.40
  4. Step 4: Simplify right side
    469,738,411.40x = 330,981,262,716,893,440
  5. Step 5: Solve for x
    x = 330,981,262,716,893,440/469,738,411.40
  6. Step 6: Final answer
    x = 704,607,617.10

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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.