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Finding the Fourth Proportional to 98,042,746,827.60, 147,064,120,241.40 and 98,042,746,827.60

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Solution

The fourth proportional to 98,042,746,827.60, 147,064,120,241.40 and 98,042,746,827.60 is: 147,064,120,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,042,746,827.60 : 147,064,120,241.40 = 98,042,746,827.60 : x
  2. Step 2: Convert to fraction form
    98,042,746,827.60/147,064,120,241.40 = 98,042,746,827.60/x
  3. Step 3: Cross multiply
    98,042,746,827.60x = 147,064,120,241.40 × 98,042,746,827.60
  4. Step 4: Simplify right side
    98,042,746,827.60x = 14,418,570,308,251,304,329,216
  5. Step 5: Solve for x
    x = 14,418,570,308,251,304,329,216/98,042,746,827.60
  6. Step 6: Final answer
    x = 147,064,120,241.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.