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Finding the Fourth Proportional to 64,574,674,617.60, 96,862,011,926.40 and 64,574,674,617.60

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Solution

The fourth proportional to 64,574,674,617.60, 96,862,011,926.40 and 64,574,674,617.60 is: 96,862,011,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,574,674,617.60 : 96,862,011,926.40 = 64,574,674,617.60 : x
  2. Step 2: Convert to fraction form
    64,574,674,617.60/96,862,011,926.40 = 64,574,674,617.60/x
  3. Step 3: Cross multiply
    64,574,674,617.60x = 96,862,011,926.40 × 64,574,674,617.60
  4. Step 4: Simplify right side
    64,574,674,617.60x = 6,254,832,902,953,369,600,000
  5. Step 5: Solve for x
    x = 6,254,832,902,953,369,600,000/64,574,674,617.60
  6. Step 6: Final answer
    x = 96,862,011,926.40

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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.