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Finding the Fourth Proportional to 968,553,216,461.60, 1,452,829,824,692.40 and 968,553,216,461.60

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Solution

The fourth proportional to 968,553,216,461.60, 1,452,829,824,692.40 and 968,553,216,461.60 is: 1,452,829,824,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,553,216,461.60 : 1,452,829,824,692.40 = 968,553,216,461.60 : x
  2. Step 2: Convert to fraction form
    968,553,216,461.60/1,452,829,824,692.40 = 968,553,216,461.60/x
  3. Step 3: Cross multiply
    968,553,216,461.60x = 1,452,829,824,692.40 × 968,553,216,461.60
  4. Step 4: Simplify right side
    968,553,216,461.60x = 1,407,142,999,677,166,329,790,464
  5. Step 5: Solve for x
    x = 1,407,142,999,677,166,329,790,464/968,553,216,461.60
  6. Step 6: Final answer
    x = 1,452,829,824,692.40

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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.