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Finding the Fourth Proportional to 173,848,564,805.60, 260,772,847,208.40 and 173,848,564,805.60

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Solution

The fourth proportional to 173,848,564,805.60, 260,772,847,208.40 and 173,848,564,805.60 is: 260,772,847,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,848,564,805.60 : 260,772,847,208.40 = 173,848,564,805.60 : x
  2. Step 2: Convert to fraction form
    173,848,564,805.60/260,772,847,208.40 = 173,848,564,805.60/x
  3. Step 3: Cross multiply
    173,848,564,805.60x = 260,772,847,208.40 × 173,848,564,805.60
  4. Step 4: Simplify right side
    173,848,564,805.60x = 45,334,985,227,450,355,548,160
  5. Step 5: Solve for x
    x = 45,334,985,227,450,355,548,160/173,848,564,805.60
  6. Step 6: Final answer
    x = 260,772,847,208.40

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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.