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Finding the Fourth Proportional to 3,353,041,973,721.50, 5,029,562,960,582.50 and 3,353,041,973,721.50

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Solution

The fourth proportional to 3,353,041,973,721.50, 5,029,562,960,582.50 and 3,353,041,973,721.50 is: 5,029,562,960,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353,041,973,721.50 : 5,029,562,960,582.50 = 3,353,041,973,721.50 : x
  2. Step 2: Convert to fraction form
    3,353,041,973,721.50/5,029,562,960,582.50 = 3,353,041,973,721.50/x
  3. Step 3: Cross multiply
    3,353,041,973,721.50x = 5,029,562,960,582.50 × 3,353,041,973,721.50
  4. Step 4: Simplify right side
    3,353,041,973,721.50x = 16,864,335,716,308,095,938,330,624
  5. Step 5: Solve for x
    x = 16,864,335,716,308,095,938,330,624/3,353,041,973,721.50
  6. Step 6: Final answer
    x = 5,029,562,960,582.50

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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.