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Finding the Fourth Proportional to 45,980,909,855.60, 68,971,364,783.40 and 45,980,909,855.60

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Solution

The fourth proportional to 45,980,909,855.60, 68,971,364,783.40 and 45,980,909,855.60 is: 68,971,364,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,980,909,855.60 : 68,971,364,783.40 = 45,980,909,855.60 : x
  2. Step 2: Convert to fraction form
    45,980,909,855.60/68,971,364,783.40 = 45,980,909,855.60/x
  3. Step 3: Cross multiply
    45,980,909,855.60x = 68,971,364,783.40 × 45,980,909,855.60
  4. Step 4: Simplify right side
    45,980,909,855.60x = 3,171,366,106,723,219,668,992
  5. Step 5: Solve for x
    x = 3,171,366,106,723,219,668,992/45,980,909,855.60
  6. Step 6: Final answer
    x = 68,971,364,783.40

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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.