Finding the Fourth Proportional to 3,070,730,129,040, 4,237,740,784,135.50 and 1,700,505,580,956.10
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Solution
The fourth proportional to 3,070,730,129,040, 4,237,740,784,135.50 and 1,700,505,580,956.10 is: 2,346,771,468,426.17
Step by Step Solution
- Step 1: Write the proportion equation
3,070,730,129,040 : 4,237,740,784,135.50 = 1,700,505,580,956.10 : x - Step 2: Convert to fraction form
3,070,730,129,040/4,237,740,784,135.50 = 1,700,505,580,956.10/x - Step 3: Cross multiply
3,070,730,129,040x = 4,237,740,784,135.50 × 1,700,505,580,956.10 - Step 4: Simplify right side
3,070,730,129,040x = 7,206,301,854,067,697,098,162,176 - Step 5: Solve for x
x = 7,206,301,854,067,697,098,162,176/3,070,730,129,040 - Step 6: Final answer
x = 2,346,771,468,426.17
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.