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Finding the Fourth Proportional to 102,335,761,323.60, 153,503,641,985.40 and 102,335,761,323.60

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Solution

The fourth proportional to 102,335,761,323.60, 153,503,641,985.40 and 102,335,761,323.60 is: 153,503,641,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,335,761,323.60 : 153,503,641,985.40 = 102,335,761,323.60 : x
  2. Step 2: Convert to fraction form
    102,335,761,323.60/153,503,641,985.40 = 102,335,761,323.60/x
  3. Step 3: Cross multiply
    102,335,761,323.60x = 153,503,641,985.40 × 102,335,761,323.60
  4. Step 4: Simplify right side
    102,335,761,323.60x = 15,708,912,068,521,239,773,184
  5. Step 5: Solve for x
    x = 15,708,912,068,521,239,773,184/102,335,761,323.60
  6. Step 6: Final answer
    x = 153,503,641,985.40

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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.