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Finding the Fourth Proportional to 2,007,576,602,999.80, 3,011,364,904,499.80 and 2,007,576,602,999.80

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Solution

The fourth proportional to 2,007,576,602,999.80, 3,011,364,904,499.80 and 2,007,576,602,999.80 is: 3,011,364,904,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007,576,602,999.80 : 3,011,364,904,499.80 = 2,007,576,602,999.80 : x
  2. Step 2: Convert to fraction form
    2,007,576,602,999.80/3,011,364,904,499.80 = 2,007,576,602,999.80/x
  3. Step 3: Cross multiply
    2,007,576,602,999.80x = 3,011,364,904,499.80 × 2,007,576,602,999.80
  4. Step 4: Simplify right side
    2,007,576,602,999.80x = 6,045,545,725,368,525,740,048,384
  5. Step 5: Solve for x
    x = 6,045,545,725,368,525,740,048,384/2,007,576,602,999.80
  6. Step 6: Final answer
    x = 3,011,364,904,499.80

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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.