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Finding the Fourth Proportional to 562,464,277.20, 785,636,002.80 and 562,464,277.20

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Solution

The fourth proportional to 562,464,277.20, 785,636,002.80 and 562,464,277.20 is: 785,636,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,464,277.20 : 785,636,002.80 = 562,464,277.20 : x
  2. Step 2: Convert to fraction form
    562,464,277.20/785,636,002.80 = 562,464,277.20/x
  3. Step 3: Cross multiply
    562,464,277.20x = 785,636,002.80 × 562,464,277.20
  4. Step 4: Simplify right side
    562,464,277.20x = 441,892,186,457,199,168
  5. Step 5: Solve for x
    x = 441,892,186,457,199,168/562,464,277.20
  6. Step 6: Final answer
    x = 785,636,002.80

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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.