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Finding the Fourth Proportional to 97,924,368,305.70, 137,355,329,508.30 and 97,924,368,305.70

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Solution

The fourth proportional to 97,924,368,305.70, 137,355,329,508.30 and 97,924,368,305.70 is: 137,355,329,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,924,368,305.70 : 137,355,329,508.30 = 97,924,368,305.70 : x
  2. Step 2: Convert to fraction form
    97,924,368,305.70/137,355,329,508.30 = 97,924,368,305.70/x
  3. Step 3: Cross multiply
    97,924,368,305.70x = 137,355,329,508.30 × 97,924,368,305.70
  4. Step 4: Simplify right side
    97,924,368,305.70x = 13,450,433,875,521,551,990,784
  5. Step 5: Solve for x
    x = 13,450,433,875,521,551,990,784/97,924,368,305.70
  6. Step 6: Final answer
    x = 137,355,329,508.30

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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.