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Finding the Fourth Proportional to 973,495,547.15, 1,461,702,124.44 and 842,741,131.50

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Solution

The fourth proportional to 973,495,547.15, 1,461,702,124.44 and 842,741,131.50 is: 1,265,374,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,495,547.15 : 1,461,702,124.44 = 842,741,131.50 : x
  2. Step 2: Convert to fraction form
    973,495,547.15/1,461,702,124.44 = 842,741,131.50/x
  3. Step 3: Cross multiply
    973,495,547.15x = 1,461,702,124.44 × 842,741,131.50
  4. Step 4: Simplify right side
    973,495,547.15x = 1,231,836,502,266,519,552
  5. Step 5: Solve for x
    x = 1,231,836,502,266,519,552/973,495,547.15
  6. Step 6: Final answer
    x = 1,265,374,562.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.