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Finding the Fourth Proportional to 325,841,376,200.70, 488,762,064,301.05 and 325,841,376,200.70

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Solution

The fourth proportional to 325,841,376,200.70, 488,762,064,301.05 and 325,841,376,200.70 is: 488,762,064,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,841,376,200.70 : 488,762,064,301.05 = 325,841,376,200.70 : x
  2. Step 2: Convert to fraction form
    325,841,376,200.70/488,762,064,301.05 = 325,841,376,200.70/x
  3. Step 3: Cross multiply
    325,841,376,200.70x = 488,762,064,301.05 × 325,841,376,200.70
  4. Step 4: Simplify right side
    325,841,376,200.70x = 159,258,903,666,549,155,954,688
  5. Step 5: Solve for x
    x = 159,258,903,666,549,155,954,688/325,841,376,200.70
  6. Step 6: Final answer
    x = 488,762,064,301.05

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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.