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Finding the Fourth Proportional to 498,562,681, 747,843,018.70 and 468,223,572.64

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Solution

The fourth proportional to 498,562,681, 747,843,018.70 and 468,223,572.64 is: 702,334,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,562,681 : 747,843,018.70 = 468,223,572.64 : x
  2. Step 2: Convert to fraction form
    498,562,681/747,843,018.70 = 468,223,572.64/x
  3. Step 3: Cross multiply
    498,562,681x = 747,843,018.70 × 468,223,572.64
  4. Step 4: Simplify right side
    498,562,681x = 350,157,729,989,596,352
  5. Step 5: Solve for x
    x = 350,157,729,989,596,352/498,562,681
  6. Step 6: Final answer
    x = 702,334,417.18

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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.