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Finding the Fourth Proportional to 173,848,583,578.60, 260,772,875,367.90 and 173,848,583,578.60

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Solution

The fourth proportional to 173,848,583,578.60, 260,772,875,367.90 and 173,848,583,578.60 is: 260,772,875,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,848,583,578.60 : 260,772,875,367.90 = 173,848,583,578.60 : x
  2. Step 2: Convert to fraction form
    173,848,583,578.60/260,772,875,367.90 = 173,848,583,578.60/x
  3. Step 3: Cross multiply
    173,848,583,578.60x = 260,772,875,367.90 × 173,848,583,578.60
  4. Step 4: Simplify right side
    173,848,583,578.60x = 45,334,995,018,428,201,304,064
  5. Step 5: Solve for x
    x = 45,334,995,018,428,201,304,064/173,848,583,578.60
  6. Step 6: Final answer
    x = 260,772,875,367.90

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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.