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Finding the Fourth Proportional to 513,506,662.70, 770,231,533.88 and 375,473,720.30

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Solution

The fourth proportional to 513,506,662.70, 770,231,533.88 and 375,473,720.30 is: 563,189,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,506,662.70 : 770,231,533.88 = 375,473,720.30 : x
  2. Step 2: Convert to fraction form
    513,506,662.70/770,231,533.88 = 375,473,720.30/x
  3. Step 3: Cross multiply
    513,506,662.70x = 770,231,533.88 × 375,473,720.30
  4. Step 4: Simplify right side
    513,506,662.70x = 289,201,699,515,386,624
  5. Step 5: Solve for x
    x = 289,201,699,515,386,624/513,506,662.70
  6. Step 6: Final answer
    x = 563,189,770.50

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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.