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Finding the Fourth Proportional to 30,611,909,711.70, 45,845,305,156.35 and 30,611,909,711.70

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Solution

The fourth proportional to 30,611,909,711.70, 45,845,305,156.35 and 30,611,909,711.70 is: 45,845,305,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611,909,711.70 : 45,845,305,156.35 = 30,611,909,711.70 : x
  2. Step 2: Convert to fraction form
    30,611,909,711.70/45,845,305,156.35 = 30,611,909,711.70/x
  3. Step 3: Cross multiply
    30,611,909,711.70x = 45,845,305,156.35 × 30,611,909,711.70
  4. Step 4: Simplify right side
    30,611,909,711.70x = 1,403,412,342,151,520,714,752
  5. Step 5: Solve for x
    x = 1,403,412,342,151,520,714,752/30,611,909,711.70
  6. Step 6: Final answer
    x = 45,845,305,156.35

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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.