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Finding the Fourth Proportional to 64,574,680,811.60, 96,862,021,217.40 and 64,574,680,811.60

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Solution

The fourth proportional to 64,574,680,811.60, 96,862,021,217.40 and 64,574,680,811.60 is: 96,862,021,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,574,680,811.60 : 96,862,021,217.40 = 64,574,680,811.60 : x
  2. Step 2: Convert to fraction form
    64,574,680,811.60/96,862,021,217.40 = 64,574,680,811.60/x
  3. Step 3: Cross multiply
    64,574,680,811.60x = 96,862,021,217.40 × 64,574,680,811.60
  4. Step 4: Simplify right side
    64,574,680,811.60x = 6,254,834,102,880,031,473,664
  5. Step 5: Solve for x
    x = 6,254,834,102,880,031,473,664/64,574,680,811.60
  6. Step 6: Final answer
    x = 96,862,021,217.40

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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.