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Finding the Fourth Proportional to 14,447,085,167.60, 21,670,627,751.40 and 14,447,085,167.60

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Solution

The fourth proportional to 14,447,085,167.60, 21,670,627,751.40 and 14,447,085,167.60 is: 21,670,627,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447,085,167.60 : 21,670,627,751.40 = 14,447,085,167.60 : x
  2. Step 2: Convert to fraction form
    14,447,085,167.60/21,670,627,751.40 = 14,447,085,167.60/x
  3. Step 3: Cross multiply
    14,447,085,167.60x = 21,670,627,751.40 × 14,447,085,167.60
  4. Step 4: Simplify right side
    14,447,085,167.60x = 313,077,404,759,831,937,024
  5. Step 5: Solve for x
    x = 313,077,404,759,831,937,024/14,447,085,167.60
  6. Step 6: Final answer
    x = 21,670,627,751.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.