Finding the Fourth Proportional to 533,941,720,184.86, 736,902,742,271.01 and 317,168,771,170.99
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Solution
The fourth proportional to 533,941,720,184.86, 736,902,742,271.01 and 317,168,771,170.99 is: 437,730,427,129.22
Step by Step Solution
- Step 1: Write the proportion equation
533,941,720,184.86 : 736,902,742,271.01 = 317,168,771,170.99 : x - Step 2: Convert to fraction form
533,941,720,184.86/736,902,742,271.01 = 317,168,771,170.99/x - Step 3: Cross multiply
533,941,720,184.86x = 736,902,742,271.01 × 317,168,771,170.99 - Step 4: Simplify right side
533,941,720,184.86x = 233,722,537,238,628,986,257,408 - Step 5: Solve for x
x = 233,722,537,238,628,986,257,408/533,941,720,184.86 - Step 6: Final answer
x = 437,730,427,129.22
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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.