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Finding the Fourth Proportional to 860,907,547,761.70, 1,291,361,321,642.60 and 860,907,547,761.70

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Solution

The fourth proportional to 860,907,547,761.70, 1,291,361,321,642.60 and 860,907,547,761.70 is: 1,291,361,321,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,907,547,761.70 : 1,291,361,321,642.60 = 860,907,547,761.70 : x
  2. Step 2: Convert to fraction form
    860,907,547,761.70/1,291,361,321,642.60 = 860,907,547,761.70/x
  3. Step 3: Cross multiply
    860,907,547,761.70x = 1,291,361,321,642.60 × 860,907,547,761.70
  4. Step 4: Simplify right side
    860,907,547,761.70x = 1,111,742,708,689,638,717,915,136
  5. Step 5: Solve for x
    x = 1,111,742,708,689,638,717,915,136/860,907,547,761.70
  6. Step 6: Final answer
    x = 1,291,361,321,642.60

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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.