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Finding the Fourth Proportional to 562,464,286.20, 785,636,015.40 and 562,464,286.20

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Solution

The fourth proportional to 562,464,286.20, 785,636,015.40 and 562,464,286.20 is: 785,636,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,464,286.20 : 785,636,015.40 = 562,464,286.20 : x
  2. Step 2: Convert to fraction form
    562,464,286.20/785,636,015.40 = 562,464,286.20/x
  3. Step 3: Cross multiply
    562,464,286.20x = 785,636,015.40 × 562,464,286.20
  4. Step 4: Simplify right side
    562,464,286.20x = 441,892,200,614,973,248
  5. Step 5: Solve for x
    x = 441,892,200,614,973,248/562,464,286.20
  6. Step 6: Final answer
    x = 785,636,015.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.