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Finding the Fourth Proportional to 65,129,869,666.60, 97,694,804,499.90 and 65,129,869,666.60

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Solution

The fourth proportional to 65,129,869,666.60, 97,694,804,499.90 and 65,129,869,666.60 is: 97,694,804,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129,869,666.60 : 97,694,804,499.90 = 65,129,869,666.60 : x
  2. Step 2: Convert to fraction form
    65,129,869,666.60/97,694,804,499.90 = 65,129,869,666.60/x
  3. Step 3: Cross multiply
    65,129,869,666.60x = 97,694,804,499.90 × 65,129,869,666.60
  4. Step 4: Simplify right side
    65,129,869,666.60x = 6,362,849,884,182,453,157,888
  5. Step 5: Solve for x
    x = 6,362,849,884,182,453,157,888/65,129,869,666.60
  6. Step 6: Final answer
    x = 97,694,804,499.90

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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.