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Finding the Fourth Proportional to 965,391,339.60, 1,448,087,009.40 and 578,407,813.20

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Solution

The fourth proportional to 965,391,339.60, 1,448,087,009.40 and 578,407,813.20 is: 867,611,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,391,339.60 : 1,448,087,009.40 = 578,407,813.20 : x
  2. Step 2: Convert to fraction form
    965,391,339.60/1,448,087,009.40 = 578,407,813.20/x
  3. Step 3: Cross multiply
    965,391,339.60x = 1,448,087,009.40 × 578,407,813.20
  4. Step 4: Simplify right side
    965,391,339.60x = 837,584,840,430,381,952
  5. Step 5: Solve for x
    x = 837,584,840,430,381,952/965,391,339.60
  6. Step 6: Final answer
    x = 867,611,719.80

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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.