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Finding the Fourth Proportional to 104,328,138,867.60, 156,492,208,301.40 and 104,328,138,867.60

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Solution

The fourth proportional to 104,328,138,867.60, 156,492,208,301.40 and 104,328,138,867.60 is: 156,492,208,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,328,138,867.60 : 156,492,208,301.40 = 104,328,138,867.60 : x
  2. Step 2: Convert to fraction form
    104,328,138,867.60/156,492,208,301.40 = 104,328,138,867.60/x
  3. Step 3: Cross multiply
    104,328,138,867.60x = 156,492,208,301.40 × 104,328,138,867.60
  4. Step 4: Simplify right side
    104,328,138,867.60x = 16,326,540,839,365,845,712,896
  5. Step 5: Solve for x
    x = 16,326,540,839,365,845,712,896/104,328,138,867.60
  6. Step 6: Final answer
    x = 156,492,208,301.40

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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.