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Finding the Fourth Proportional to 473,365,246.70, 710,047,870.05 and 473,365,246.70

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Solution

The fourth proportional to 473,365,246.70, 710,047,870.05 and 473,365,246.70 is: 710,047,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,365,246.70 : 710,047,870.05 = 473,365,246.70 : x
  2. Step 2: Convert to fraction form
    473,365,246.70/710,047,870.05 = 473,365,246.70/x
  3. Step 3: Cross multiply
    473,365,246.70x = 710,047,870.05 × 473,365,246.70
  4. Step 4: Simplify right side
    473,365,246.70x = 336,111,985,175,027,776
  5. Step 5: Solve for x
    x = 336,111,985,175,027,776/473,365,246.70
  6. Step 6: Final answer
    x = 710,047,870.05

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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.