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Finding the Fourth Proportional to 652,032,749.80, 978,049,124.70 and 652,032,749.80

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Solution

The fourth proportional to 652,032,749.80, 978,049,124.70 and 652,032,749.80 is: 978,049,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,032,749.80 : 978,049,124.70 = 652,032,749.80 : x
  2. Step 2: Convert to fraction form
    652,032,749.80/978,049,124.70 = 652,032,749.80/x
  3. Step 3: Cross multiply
    652,032,749.80x = 978,049,124.70 × 652,032,749.80
  4. Step 4: Simplify right side
    652,032,749.80x = 637,720,060,217,624,064
  5. Step 5: Solve for x
    x = 637,720,060,217,624,064/652,032,749.80
  6. Step 6: Final answer
    x = 978,049,124.70

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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.