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Finding the Fourth Proportional to 2,007,576,602,999.90, 3,011,364,904,499.90 and 2,007,576,602,999.90

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Solution

The fourth proportional to 2,007,576,602,999.90, 3,011,364,904,499.90 and 2,007,576,602,999.90 is: 3,011,364,904,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007,576,602,999.90 : 3,011,364,904,499.90 = 2,007,576,602,999.90 : x
  2. Step 2: Convert to fraction form
    2,007,576,602,999.90/3,011,364,904,499.90 = 2,007,576,602,999.90/x
  3. Step 3: Cross multiply
    2,007,576,602,999.90x = 3,011,364,904,499.90 × 2,007,576,602,999.90
  4. Step 4: Simplify right side
    2,007,576,602,999.90x = 6,045,545,725,369,027,177,480,192
  5. Step 5: Solve for x
    x = 6,045,545,725,369,027,177,480,192/2,007,576,602,999.90
  6. Step 6: Final answer
    x = 3,011,364,904,499.90

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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.