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Finding the Fourth Proportional to 191,590,487,999.60, 287,385,731,999.40 and 191,590,487,999.60

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Solution

The fourth proportional to 191,590,487,999.60, 287,385,731,999.40 and 191,590,487,999.60 is: 287,385,731,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,590,487,999.60 : 287,385,731,999.40 = 191,590,487,999.60 : x
  2. Step 2: Convert to fraction form
    191,590,487,999.60/287,385,731,999.40 = 191,590,487,999.60/x
  3. Step 3: Cross multiply
    191,590,487,999.60x = 287,385,731,999.40 × 191,590,487,999.60
  4. Step 4: Simplify right side
    191,590,487,999.60x = 55,060,372,637,887,313,739,776
  5. Step 5: Solve for x
    x = 55,060,372,637,887,313,739,776/191,590,487,999.60
  6. Step 6: Final answer
    x = 287,385,731,999.40

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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.