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Finding the Fourth Proportional to 463,602,176.80, 695,403,265.20 and 463,602,176.80

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Solution

The fourth proportional to 463,602,176.80, 695,403,265.20 and 463,602,176.80 is: 695,403,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,602,176.80 : 695,403,265.20 = 463,602,176.80 : x
  2. Step 2: Convert to fraction form
    463,602,176.80/695,403,265.20 = 463,602,176.80/x
  3. Step 3: Cross multiply
    463,602,176.80x = 695,403,265.20 × 463,602,176.80
  4. Step 4: Simplify right side
    463,602,176.80x = 322,390,467,500,547,712
  5. Step 5: Solve for x
    x = 322,390,467,500,547,712/463,602,176.80
  6. Step 6: Final answer
    x = 695,403,265.20

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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.