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Finding the Fourth Proportional to 463,648,697.40, 695,473,046.10 and 208,844,729.40

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Solution

The fourth proportional to 463,648,697.40, 695,473,046.10 and 208,844,729.40 is: 313,267,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648,697.40 : 695,473,046.10 = 208,844,729.40 : x
  2. Step 2: Convert to fraction form
    463,648,697.40/695,473,046.10 = 208,844,729.40/x
  3. Step 3: Cross multiply
    463,648,697.40x = 695,473,046.10 × 208,844,729.40
  4. Step 4: Simplify right side
    463,648,697.40x = 145,245,880,117,748,224
  5. Step 5: Solve for x
    x = 145,245,880,117,748,224/463,648,697.40
  6. Step 6: Final answer
    x = 313,267,094.10

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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.