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Finding the Fourth Proportional to 64,706,688,019.20, 90,850,577,107.20 and 64,706,688,019.20

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Solution

The fourth proportional to 64,706,688,019.20, 90,850,577,107.20 and 64,706,688,019.20 is: 90,850,577,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,706,688,019.20 : 90,850,577,107.20 = 64,706,688,019.20 : x
  2. Step 2: Convert to fraction form
    64,706,688,019.20/90,850,577,107.20 = 64,706,688,019.20/x
  3. Step 3: Cross multiply
    64,706,688,019.20x = 90,850,577,107.20 × 64,706,688,019.20
  4. Step 4: Simplify right side
    64,706,688,019.20x = 5,878,639,949,239,863,476,224
  5. Step 5: Solve for x
    x = 5,878,639,949,239,863,476,224/64,706,688,019.20
  6. Step 6: Final answer
    x = 90,850,577,107.20

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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.