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Finding the Fourth Proportional to 45,802,871,130.60, 68,607,560,814.30 and 45,802,871,130.60

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Solution

The fourth proportional to 45,802,871,130.60, 68,607,560,814.30 and 45,802,871,130.60 is: 68,607,560,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,802,871,130.60 : 68,607,560,814.30 = 45,802,871,130.60 : x
  2. Step 2: Convert to fraction form
    45,802,871,130.60/68,607,560,814.30 = 45,802,871,130.60/x
  3. Step 3: Cross multiply
    45,802,871,130.60x = 68,607,560,814.30 × 45,802,871,130.60
  4. Step 4: Simplify right side
    45,802,871,130.60x = 3,142,423,266,562,185,101,312
  5. Step 5: Solve for x
    x = 3,142,423,266,562,185,101,312/45,802,871,130.60
  6. Step 6: Final answer
    x = 68,607,560,814.30

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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.