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Finding the Fourth Proportional to 96,321,750,384.90, 144,482,625,577.35 and 96,321,750,384.90

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Solution

The fourth proportional to 96,321,750,384.90, 144,482,625,577.35 and 96,321,750,384.90 is: 144,482,625,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,321,750,384.90 : 144,482,625,577.35 = 96,321,750,384.90 : x
  2. Step 2: Convert to fraction form
    96,321,750,384.90/144,482,625,577.35 = 96,321,750,384.90/x
  3. Step 3: Cross multiply
    96,321,750,384.90x = 144,482,625,577.35 × 96,321,750,384.90
  4. Step 4: Simplify right side
    96,321,750,384.90x = 13,916,819,395,816,475,066,368
  5. Step 5: Solve for x
    x = 13,916,819,395,816,475,066,368/96,321,750,384.90
  6. Step 6: Final answer
    x = 144,482,625,577.35

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1.5x scale

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.