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Finding the Fourth Proportional to 478,528,005.60, 717,792,008.40 and 478,528,005.60

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Solution

The fourth proportional to 478,528,005.60, 717,792,008.40 and 478,528,005.60 is: 717,792,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,528,005.60 : 717,792,008.40 = 478,528,005.60 : x
  2. Step 2: Convert to fraction form
    478,528,005.60/717,792,008.40 = 478,528,005.60/x
  3. Step 3: Cross multiply
    478,528,005.60x = 717,792,008.40 × 478,528,005.60
  4. Step 4: Simplify right side
    478,528,005.60x = 343,483,578,215,270,464
  5. Step 5: Solve for x
    x = 343,483,578,215,270,464/478,528,005.60
  6. Step 6: Final answer
    x = 717,792,008.40

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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.