Finding the Fourth Proportional to 971,598,204,722.10, 1,340,847,669,746.50 and 538,050,593,805.05
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Solution
The fourth proportional to 971,598,204,722.10, 1,340,847,669,746.50 and 538,050,593,805.05 is: 742,533,159,698.02
Step by Step Solution
- Step 1: Write the proportion equation
971,598,204,722.10 : 1,340,847,669,746.50 = 538,050,593,805.05 : x - Step 2: Convert to fraction form
971,598,204,722.10/1,340,847,669,746.50 = 538,050,593,805.05/x - Step 3: Cross multiply
971,598,204,722.10x = 1,340,847,669,746.50 × 538,050,593,805.05 - Step 4: Simplify right side
971,598,204,722.10x = 721,443,884,909,221,891,801,088 - Step 5: Solve for x
x = 721,443,884,909,221,891,801,088/971,598,204,722.10 - Step 6: Final answer
x = 742,533,159,698.02
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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.