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Finding the Fourth Proportional to 97,054,889,422.10, 145,582,334,133.15 and 97,054,889,422.10

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Solution

The fourth proportional to 97,054,889,422.10, 145,582,334,133.15 and 97,054,889,422.10 is: 145,582,334,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,054,889,422.10 : 145,582,334,133.15 = 97,054,889,422.10 : x
  2. Step 2: Convert to fraction form
    97,054,889,422.10/145,582,334,133.15 = 97,054,889,422.10/x
  3. Step 3: Cross multiply
    97,054,889,422.10x = 145,582,334,133.15 × 97,054,889,422.10
  4. Step 4: Simplify right side
    97,054,889,422.10x = 14,129,477,341,104,088,023,040
  5. Step 5: Solve for x
    x = 14,129,477,341,104,088,023,040/97,054,889,422.10
  6. Step 6: Final answer
    x = 145,582,334,133.15

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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.