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Finding the Fourth Proportional to 4,838,856,543.40, 7,258,284,815.10 and 4,838,856,543.40

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Solution

The fourth proportional to 4,838,856,543.40, 7,258,284,815.10 and 4,838,856,543.40 is: 7,258,284,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838,856,543.40 : 7,258,284,815.10 = 4,838,856,543.40 : x
  2. Step 2: Convert to fraction form
    4,838,856,543.40/7,258,284,815.10 = 4,838,856,543.40/x
  3. Step 3: Cross multiply
    4,838,856,543.40x = 7,258,284,815.10 × 4,838,856,543.40
  4. Step 4: Simplify right side
    4,838,856,543.40x = 35,121,798,971,407,495,168
  5. Step 5: Solve for x
    x = 35,121,798,971,407,495,168/4,838,856,543.40
  6. Step 6: Final answer
    x = 7,258,284,815.10

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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.