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Finding the Fourth Proportional to 201,816,909,002.70, 302,725,363,504.06 and 201,816,909,002.70

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Solution

The fourth proportional to 201,816,909,002.70, 302,725,363,504.06 and 201,816,909,002.70 is: 302,725,363,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,816,909,002.70 : 302,725,363,504.06 = 201,816,909,002.70 : x
  2. Step 2: Convert to fraction form
    201,816,909,002.70/302,725,363,504.06 = 201,816,909,002.70/x
  3. Step 3: Cross multiply
    201,816,909,002.70x = 302,725,363,504.06 × 201,816,909,002.70
  4. Step 4: Simplify right side
    201,816,909,002.70x = 61,095,097,139,108,161,519,616
  5. Step 5: Solve for x
    x = 61,095,097,139,108,161,519,616/201,816,909,002.70
  6. Step 6: Final answer
    x = 302,725,363,504.06

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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.