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Finding the Fourth Proportional to 133,604,752,259.60, 200,407,128,389.40 and 133,604,752,259.60

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Solution

The fourth proportional to 133,604,752,259.60, 200,407,128,389.40 and 133,604,752,259.60 is: 200,407,128,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,604,752,259.60 : 200,407,128,389.40 = 133,604,752,259.60 : x
  2. Step 2: Convert to fraction form
    133,604,752,259.60/200,407,128,389.40 = 133,604,752,259.60/x
  3. Step 3: Cross multiply
    133,604,752,259.60x = 200,407,128,389.40 × 133,604,752,259.60
  4. Step 4: Simplify right side
    133,604,752,259.60x = 26,775,344,739,523,638,591,488
  5. Step 5: Solve for x
    x = 26,775,344,739,523,638,591,488/133,604,752,259.60
  6. Step 6: Final answer
    x = 200,407,128,389.40

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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.