Finding the Fourth Proportional to 1,699,360,898.93, 2,549,313,750.87 and 716,932,148.58
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Solution
The fourth proportional to 1,699,360,898.93, 2,549,313,750.87 and 716,932,148.58 is: 1,075,513,144.95
Step by Step Solution
- Step 1: Write the proportion equation
1,699,360,898.93 : 2,549,313,750.87 = 716,932,148.58 : x - Step 2: Convert to fraction form
1,699,360,898.93/2,549,313,750.87 = 716,932,148.58/x - Step 3: Cross multiply
1,699,360,898.93x = 2,549,313,750.87 × 716,932,148.58 - Step 4: Simplify right side
1,699,360,898.93x = 1,827,684,984,815,768,064 - Step 5: Solve for x
x = 1,827,684,984,815,768,064/1,699,360,898.93 - Step 6: Final answer
x = 1,075,513,144.95
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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.