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Finding the Fourth Proportional to 169,546,352,607.60, 254,319,528,911.40 and 169,546,352,607.60

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Solution

The fourth proportional to 169,546,352,607.60, 254,319,528,911.40 and 169,546,352,607.60 is: 254,319,528,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,546,352,607.60 : 254,319,528,911.40 = 169,546,352,607.60 : x
  2. Step 2: Convert to fraction form
    169,546,352,607.60/254,319,528,911.40 = 169,546,352,607.60/x
  3. Step 3: Cross multiply
    169,546,352,607.60x = 254,319,528,911.40 × 169,546,352,607.60
  4. Step 4: Simplify right side
    169,546,352,607.60x = 43,118,948,523,810,947,596,288
  5. Step 5: Solve for x
    x = 43,118,948,523,810,947,596,288/169,546,352,607.60
  6. Step 6: Final answer
    x = 254,319,528,911.40

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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.