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Finding the Fourth Proportional to 9,627,335,999.70, 14,418,045,748.35 and 9,627,335,999.70

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Solution

The fourth proportional to 9,627,335,999.70, 14,418,045,748.35 and 9,627,335,999.70 is: 14,418,045,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627,335,999.70 : 14,418,045,748.35 = 9,627,335,999.70 : x
  2. Step 2: Convert to fraction form
    9,627,335,999.70/14,418,045,748.35 = 9,627,335,999.70/x
  3. Step 3: Cross multiply
    9,627,335,999.70x = 14,418,045,748.35 × 9,627,335,999.70
  4. Step 4: Simplify right side
    9,627,335,999.70x = 138,807,370,878,411,489,280
  5. Step 5: Solve for x
    x = 138,807,370,878,411,489,280/9,627,335,999.70
  6. Step 6: Final answer
    x = 14,418,045,748.35

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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.