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Finding the Fourth Proportional to 11,125,785,566,570, 16,688,678,349,856 and 11,125,785,566,570

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Solution

The fourth proportional to 11,125,785,566,570, 16,688,678,349,856 and 11,125,785,566,570 is: 16,688,678,349,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,125,785,566,570 : 16,688,678,349,856 = 11,125,785,566,570 : x
  2. Step 2: Convert to fraction form
    11,125,785,566,570/16,688,678,349,856 = 11,125,785,566,570/x
  3. Step 3: Cross multiply
    11,125,785,566,570x = 16,688,678,349,856 × 11,125,785,566,570
  4. Step 4: Simplify right side
    11,125,785,566,570x = 185,674,656,709,957,121,579,417,600
  5. Step 5: Solve for x
    x = 185,674,656,709,957,121,579,417,600/11,125,785,566,570
  6. Step 6: Final answer
    x = 16,688,678,349,856

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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.