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Finding the Fourth Proportional to 16,143,668,656.40, 24,215,502,984.60 and 16,143,668,656.40

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Solution

The fourth proportional to 16,143,668,656.40, 24,215,502,984.60 and 16,143,668,656.40 is: 24,215,502,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143,668,656.40 : 24,215,502,984.60 = 16,143,668,656.40 : x
  2. Step 2: Convert to fraction form
    16,143,668,656.40/24,215,502,984.60 = 16,143,668,656.40/x
  3. Step 3: Cross multiply
    16,143,668,656.40x = 24,215,502,984.60 × 16,143,668,656.40
  4. Step 4: Simplify right side
    16,143,668,656.40x = 390,927,056,531,447,611,392
  5. Step 5: Solve for x
    x = 390,927,056,531,447,611,392/16,143,668,656.40
  6. Step 6: Final answer
    x = 24,215,502,984.60

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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.