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Finding the Fourth Proportional to 769,824,000.10, 1,154,736,000.15 and 463,713,984.10

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Solution

The fourth proportional to 769,824,000.10, 1,154,736,000.15 and 463,713,984.10 is: 695,570,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,824,000.10 : 1,154,736,000.15 = 463,713,984.10 : x
  2. Step 2: Convert to fraction form
    769,824,000.10/1,154,736,000.15 = 463,713,984.10/x
  3. Step 3: Cross multiply
    769,824,000.10x = 1,154,736,000.15 × 463,713,984.10
  4. Step 4: Simplify right side
    769,824,000.10x = 535,467,231,213,254,784
  5. Step 5: Solve for x
    x = 535,467,231,213,254,784/769,824,000.10
  6. Step 6: Final answer
    x = 695,570,976.15

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Double scale
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Similar ratio
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1.5x scale

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.