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Finding the Fourth Proportional to 860,909,148,005.90, 1,291,363,722,008.90 and 860,909,148,005.90

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Solution

The fourth proportional to 860,909,148,005.90, 1,291,363,722,008.90 and 860,909,148,005.90 is: 1,291,363,722,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,909,148,005.90 : 1,291,363,722,008.90 = 860,909,148,005.90 : x
  2. Step 2: Convert to fraction form
    860,909,148,005.90/1,291,363,722,008.90 = 860,909,148,005.90/x
  3. Step 3: Cross multiply
    860,909,148,005.90x = 1,291,363,722,008.90 × 860,909,148,005.90
  4. Step 4: Simplify right side
    860,909,148,005.90x = 1,111,746,841,680,409,895,370,752
  5. Step 5: Solve for x
    x = 1,111,746,841,680,409,895,370,752/860,909,148,005.90
  6. Step 6: Final answer
    x = 1,291,363,722,008.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.