Finding the Fourth Proportional to 1,947,532,514,956.70, 2,686,478,257,731 and 1,214,648,544,788.10
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Solution
The fourth proportional to 1,947,532,514,956.70, 2,686,478,257,731 and 1,214,648,544,788.10 is: 1,675,518,576,094.42
Step by Step Solution
- Step 1: Write the proportion equation
1,947,532,514,956.70 : 2,686,478,257,731 = 1,214,648,544,788.10 : x - Step 2: Convert to fraction form
1,947,532,514,956.70/2,686,478,257,731 = 1,214,648,544,788.10/x - Step 3: Cross multiply
1,947,532,514,956.70x = 2,686,478,257,731 × 1,214,648,544,788.10 - Step 4: Simplify right side
1,947,532,514,956.70x = 3,263,126,906,357,829,779,587,072 - Step 5: Solve for x
x = 3,263,126,906,357,829,779,587,072/1,947,532,514,956.70 - Step 6: Final answer
x = 1,675,518,576,094.42
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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.