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Finding the Fourth Proportional to 652,032,006.30, 978,048,009.45 and 652,032,006.30

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Solution

The fourth proportional to 652,032,006.30, 978,048,009.45 and 652,032,006.30 is: 978,048,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,032,006.30 : 978,048,009.45 = 652,032,006.30 : x
  2. Step 2: Convert to fraction form
    652,032,006.30/978,048,009.45 = 652,032,006.30/x
  3. Step 3: Cross multiply
    652,032,006.30x = 978,048,009.45 × 652,032,006.30
  4. Step 4: Simplify right side
    652,032,006.30x = 637,718,605,859,404,800
  5. Step 5: Solve for x
    x = 637,718,605,859,404,800/652,032,006.30
  6. Step 6: Final answer
    x = 978,048,009.45

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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.