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Finding the Fourth Proportional to 34,082,208,052.65, 51,123,312,078.98 and 34,082,208,052.65

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Solution

The fourth proportional to 34,082,208,052.65, 51,123,312,078.98 and 34,082,208,052.65 is: 51,123,312,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,082,208,052.65 : 51,123,312,078.98 = 34,082,208,052.65 : x
  2. Step 2: Convert to fraction form
    34,082,208,052.65/51,123,312,078.98 = 34,082,208,052.65/x
  3. Step 3: Cross multiply
    34,082,208,052.65x = 51,123,312,078.98 × 34,082,208,052.65
  4. Step 4: Simplify right side
    34,082,208,052.65x = 1,742,395,358,616,180,752,384
  5. Step 5: Solve for x
    x = 1,742,395,358,616,180,752,384/34,082,208,052.65
  6. Step 6: Final answer
    x = 51,123,312,078.98

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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.