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Finding the Fourth Proportional to 30,462,312,145.20, 45,607,471,878.60 and 30,462,312,145.20

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Solution

The fourth proportional to 30,462,312,145.20, 45,607,471,878.60 and 30,462,312,145.20 is: 45,607,471,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462,312,145.20 : 45,607,471,878.60 = 30,462,312,145.20 : x
  2. Step 2: Convert to fraction form
    30,462,312,145.20/45,607,471,878.60 = 30,462,312,145.20/x
  3. Step 3: Cross multiply
    30,462,312,145.20x = 45,607,471,878.60 × 30,462,312,145.20
  4. Step 4: Simplify right side
    30,462,312,145.20x = 1,389,309,044,519,344,275,456
  5. Step 5: Solve for x
    x = 1,389,309,044,519,344,275,456/30,462,312,145.20
  6. Step 6: Final answer
    x = 45,607,471,878.60

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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.