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Finding the Fourth Proportional to 343,712,808,619.60, 515,569,212,929.40 and 343,712,808,619.60

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Solution

The fourth proportional to 343,712,808,619.60, 515,569,212,929.40 and 343,712,808,619.60 is: 515,569,212,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,712,808,619.60 : 515,569,212,929.40 = 343,712,808,619.60 : x
  2. Step 2: Convert to fraction form
    343,712,808,619.60/515,569,212,929.40 = 343,712,808,619.60/x
  3. Step 3: Cross multiply
    343,712,808,619.60x = 515,569,212,929.40 × 343,712,808,619.60
  4. Step 4: Simplify right side
    343,712,808,619.60x = 177,207,742,213,760,659,488,768
  5. Step 5: Solve for x
    x = 177,207,742,213,760,659,488,768/343,712,808,619.60
  6. Step 6: Final answer
    x = 515,569,212,929.40

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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.