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Finding the Fourth Proportional to 860,907,547,772.70, 1,291,361,321,659.10 and 860,907,547,772.70

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Solution

The fourth proportional to 860,907,547,772.70, 1,291,361,321,659.10 and 860,907,547,772.70 is: 1,291,361,321,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,907,547,772.70 : 1,291,361,321,659.10 = 860,907,547,772.70 : x
  2. Step 2: Convert to fraction form
    860,907,547,772.70/1,291,361,321,659.10 = 860,907,547,772.70/x
  3. Step 3: Cross multiply
    860,907,547,772.70x = 1,291,361,321,659.10 × 860,907,547,772.70
  4. Step 4: Simplify right side
    860,907,547,772.70x = 1,111,742,708,718,048,718,618,624
  5. Step 5: Solve for x
    x = 1,111,742,708,718,048,718,618,624/860,907,547,772.70
  6. Step 6: Final answer
    x = 1,291,361,321,659.10

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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.