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Finding the Fourth Proportional to 553,136,952.70, 829,705,429.05 and 553,136,952.70

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Solution

The fourth proportional to 553,136,952.70, 829,705,429.05 and 553,136,952.70 is: 829,705,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,136,952.70 : 829,705,429.05 = 553,136,952.70 : x
  2. Step 2: Convert to fraction form
    553,136,952.70/829,705,429.05 = 553,136,952.70/x
  3. Step 3: Cross multiply
    553,136,952.70x = 829,705,429.05 × 553,136,952.70
  4. Step 4: Simplify right side
    553,136,952.70x = 458,940,732,663,363,072
  5. Step 5: Solve for x
    x = 458,940,732,663,363,072/553,136,952.70
  6. Step 6: Final answer
    x = 829,705,429.05

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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.