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Finding the Fourth Proportional to 30,611,909,710.20, 45,845,305,154.10 and 30,611,909,710.20

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Solution

The fourth proportional to 30,611,909,710.20, 45,845,305,154.10 and 30,611,909,710.20 is: 45,845,305,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611,909,710.20 : 45,845,305,154.10 = 30,611,909,710.20 : x
  2. Step 2: Convert to fraction form
    30,611,909,710.20/45,845,305,154.10 = 30,611,909,710.20/x
  3. Step 3: Cross multiply
    30,611,909,710.20x = 45,845,305,154.10 × 30,611,909,710.20
  4. Step 4: Simplify right side
    30,611,909,710.20x = 1,403,412,342,013,875,978,240
  5. Step 5: Solve for x
    x = 1,403,412,342,013,875,978,240/30,611,909,710.20
  6. Step 6: Final answer
    x = 45,845,305,154.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.