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Finding the Fourth Proportional to 30,621,571,207.40, 45,932,356,811.10 and 30,621,571,207.40

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Solution

The fourth proportional to 30,621,571,207.40, 45,932,356,811.10 and 30,621,571,207.40 is: 45,932,356,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,621,571,207.40 : 45,932,356,811.10 = 30,621,571,207.40 : x
  2. Step 2: Convert to fraction form
    30,621,571,207.40/45,932,356,811.10 = 30,621,571,207.40/x
  3. Step 3: Cross multiply
    30,621,571,207.40x = 45,932,356,811.10 × 30,621,571,207.40
  4. Step 4: Simplify right side
    30,621,571,207.40x = 1,406,520,934,814,803,034,112
  5. Step 5: Solve for x
    x = 1,406,520,934,814,803,034,112/30,621,571,207.40
  6. Step 6: Final answer
    x = 45,932,356,811.10

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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.