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Finding the Fourth Proportional to 10,983,650,544,025, 16,475,475,816,038 and 10,983,650,544,025

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Solution

The fourth proportional to 10,983,650,544,025, 16,475,475,816,038 and 10,983,650,544,025 is: 16,475,475,816,038

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983,650,544,025 : 16,475,475,816,038 = 10,983,650,544,025 : x
  2. Step 2: Convert to fraction form
    10,983,650,544,025/16,475,475,816,038 = 10,983,650,544,025/x
  3. Step 3: Cross multiply
    10,983,650,544,025x = 16,475,475,816,038 × 10,983,650,544,025
  4. Step 4: Simplify right side
    10,983,650,544,025x = 180,960,868,909,896,502,752,575,488
  5. Step 5: Solve for x
    x = 180,960,868,909,896,502,752,575,488/10,983,650,544,025
  6. Step 6: Final answer
    x = 16,475,475,816,038

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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.