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Finding the Fourth Proportional to 313,314,385.90, 469,971,490.84 and 97,903,633.90

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Solution

The fourth proportional to 313,314,385.90, 469,971,490.84 and 97,903,633.90 is: 146,855,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,314,385.90 : 469,971,490.84 = 97,903,633.90 : x
  2. Step 2: Convert to fraction form
    313,314,385.90/469,971,490.84 = 97,903,633.90/x
  3. Step 3: Cross multiply
    313,314,385.90x = 469,971,490.84 × 97,903,633.90
  4. Step 4: Simplify right side
    313,314,385.90x = 46,011,916,782,636,560
  5. Step 5: Solve for x
    x = 46,011,916,782,636,560/313,314,385.90
  6. Step 6: Final answer
    x = 146,855,423.35

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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.