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Finding the Fourth Proportional to 860,907,547,764.20, 1,291,361,321,646.40 and 860,907,547,764.20

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Solution

The fourth proportional to 860,907,547,764.20, 1,291,361,321,646.40 and 860,907,547,764.20 is: 1,291,361,321,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,907,547,764.20 : 1,291,361,321,646.40 = 860,907,547,764.20 : x
  2. Step 2: Convert to fraction form
    860,907,547,764.20/1,291,361,321,646.40 = 860,907,547,764.20/x
  3. Step 3: Cross multiply
    860,907,547,764.20x = 1,291,361,321,646.40 × 860,907,547,764.20
  4. Step 4: Simplify right side
    860,907,547,764.20x = 1,111,742,708,696,138,345,611,264
  5. Step 5: Solve for x
    x = 1,111,742,708,696,138,345,611,264/860,907,547,764.20
  6. Step 6: Final answer
    x = 1,291,361,321,646.40

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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.