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Finding the Fourth Proportional to 165,024,678,909.30, 247,537,018,363.95 and 165,024,678,909.30

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Solution

The fourth proportional to 165,024,678,909.30, 247,537,018,363.95 and 165,024,678,909.30 is: 247,537,018,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,024,678,909.30 : 247,537,018,363.95 = 165,024,678,909.30 : x
  2. Step 2: Convert to fraction form
    165,024,678,909.30/247,537,018,363.95 = 165,024,678,909.30/x
  3. Step 3: Cross multiply
    165,024,678,909.30x = 247,537,018,363.95 × 165,024,678,909.30
  4. Step 4: Simplify right side
    165,024,678,909.30x = 40,849,716,973,676,345,163,776
  5. Step 5: Solve for x
    x = 40,849,716,973,676,345,163,776/165,024,678,909.30
  6. Step 6: Final answer
    x = 247,537,018,363.95

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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.