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Finding the Fourth Proportional to 289,636,703,988.90, 434,455,055,983.34 and 289,636,703,988.90

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Solution

The fourth proportional to 289,636,703,988.90, 434,455,055,983.34 and 289,636,703,988.90 is: 434,455,055,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,636,703,988.90 : 434,455,055,983.34 = 289,636,703,988.90 : x
  2. Step 2: Convert to fraction form
    289,636,703,988.90/434,455,055,983.34 = 289,636,703,988.90/x
  3. Step 3: Cross multiply
    289,636,703,988.90x = 434,455,055,983.34 × 289,636,703,988.90
  4. Step 4: Simplify right side
    289,636,703,988.90x = 125,834,130,446,327,637,606,400
  5. Step 5: Solve for x
    x = 125,834,130,446,327,637,606,400/289,636,703,988.90
  6. Step 6: Final answer
    x = 434,455,055,983.34

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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.