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Finding the Fourth Proportional to 201,816,911,295.45, 302,725,366,943.18 and 201,816,911,295.45

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Solution

The fourth proportional to 201,816,911,295.45, 302,725,366,943.18 and 201,816,911,295.45 is: 302,725,366,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,816,911,295.45 : 302,725,366,943.18 = 201,816,911,295.45 : x
  2. Step 2: Convert to fraction form
    201,816,911,295.45/302,725,366,943.18 = 201,816,911,295.45/x
  3. Step 3: Cross multiply
    201,816,911,295.45x = 302,725,366,943.18 × 201,816,911,295.45
  4. Step 4: Simplify right side
    201,816,911,295.45x = 61,095,098,527,254,308,716,544
  5. Step 5: Solve for x
    x = 61,095,098,527,254,308,716,544/201,816,911,295.45
  6. Step 6: Final answer
    x = 302,725,366,943.18

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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.