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Finding the Fourth Proportional to 14,447,085,319.60, 21,670,627,979.40 and 14,447,085,319.60

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Solution

The fourth proportional to 14,447,085,319.60, 21,670,627,979.40 and 14,447,085,319.60 is: 21,670,627,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447,085,319.60 : 21,670,627,979.40 = 14,447,085,319.60 : x
  2. Step 2: Convert to fraction form
    14,447,085,319.60/21,670,627,979.40 = 14,447,085,319.60/x
  3. Step 3: Cross multiply
    14,447,085,319.60x = 21,670,627,979.40 × 14,447,085,319.60
  4. Step 4: Simplify right side
    14,447,085,319.60x = 313,077,411,347,702,808,576
  5. Step 5: Solve for x
    x = 313,077,411,347,702,808,576/14,447,085,319.60
  6. Step 6: Final answer
    x = 21,670,627,979.40

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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.