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Finding the Fourth Proportional to 463,616,009.60, 695,424,014.40 and 463,616,009.60

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Solution

The fourth proportional to 463,616,009.60, 695,424,014.40 and 463,616,009.60 is: 695,424,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,616,009.60 : 695,424,014.40 = 463,616,009.60 : x
  2. Step 2: Convert to fraction form
    463,616,009.60/695,424,014.40 = 463,616,009.60/x
  3. Step 3: Cross multiply
    463,616,009.60x = 695,424,014.40 × 463,616,009.60
  4. Step 4: Simplify right side
    463,616,009.60x = 322,409,706,536,140,928
  5. Step 5: Solve for x
    x = 322,409,706,536,140,928/463,616,009.60
  6. Step 6: Final answer
    x = 695,424,014.40

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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.