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Finding the Fourth Proportional to 301,223,712,847.80, 451,835,569,271.70 and 301,223,712,847.80

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Solution

The fourth proportional to 301,223,712,847.80, 451,835,569,271.70 and 301,223,712,847.80 is: 451,835,569,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,223,712,847.80 : 451,835,569,271.70 = 301,223,712,847.80 : x
  2. Step 2: Convert to fraction form
    301,223,712,847.80/451,835,569,271.70 = 301,223,712,847.80/x
  3. Step 3: Cross multiply
    301,223,712,847.80x = 451,835,569,271.70 × 301,223,712,847.80
  4. Step 4: Simplify right side
    301,223,712,847.80x = 136,103,587,772,720,796,925,952
  5. Step 5: Solve for x
    x = 136,103,587,772,720,796,925,952/301,223,712,847.80
  6. Step 6: Final answer
    x = 451,835,569,271.70

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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.