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Finding the Fourth Proportional to 97,924,368,315.20, 137,355,329,521.60 and 97,924,368,315.20

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Solution

The fourth proportional to 97,924,368,315.20, 137,355,329,521.60 and 97,924,368,315.20 is: 137,355,329,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,924,368,315.20 : 137,355,329,521.60 = 97,924,368,315.20 : x
  2. Step 2: Convert to fraction form
    97,924,368,315.20/137,355,329,521.60 = 97,924,368,315.20/x
  3. Step 3: Cross multiply
    97,924,368,315.20x = 137,355,329,521.60 × 97,924,368,315.20
  4. Step 4: Simplify right side
    97,924,368,315.20x = 13,450,433,878,128,821,534,720
  5. Step 5: Solve for x
    x = 13,450,433,878,128,821,534,720/97,924,368,315.20
  6. Step 6: Final answer
    x = 137,355,329,521.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.