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Finding the Fourth Proportional to 33,023,643,861.60, 46,363,708,346.40 and 33,023,643,861.60

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Solution

The fourth proportional to 33,023,643,861.60, 46,363,708,346.40 and 33,023,643,861.60 is: 46,363,708,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,023,643,861.60 : 46,363,708,346.40 = 33,023,643,861.60 : x
  2. Step 2: Convert to fraction form
    33,023,643,861.60/46,363,708,346.40 = 33,023,643,861.60/x
  3. Step 3: Cross multiply
    33,023,643,861.60x = 46,363,708,346.40 × 33,023,643,861.60
  4. Step 4: Simplify right side
    33,023,643,861.60x = 1,531,098,592,534,605,070,336
  5. Step 5: Solve for x
    x = 1,531,098,592,534,605,070,336/33,023,643,861.60
  6. Step 6: Final answer
    x = 46,363,708,346.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.